Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	11970w	Isogeny class
Conductor	11970	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	35840	Modular degree for the optimal curve
Δ	67552811827200 = 214 · 311 · 52 · 72 · 19	Discriminant
Eigenvalues	2+ 3- 5- 7+  2 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-18954,-918540]	[a1,a2,a3,a4,a6]
Generators	[-81:324:1]	Generators of the group modulo torsion
j	1033027067767969/92665036800	j-invariant
L	3.5959076227234	L(r)(E,1)/r!
Ω	0.40921923738964	Real period
R	1.0984049911917	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	95760fl1 3990w1 59850fd1 83790bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970w1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-	+	2	-2	0	+	4	6	-6	-8	6	0	-10	-6	4	-2	-10	0	-2	8	-8	6	8

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Quadratic twists for elliptic curve 11970w1

-4	-3	5	-7
95760fl1	3990w1	59850fd1	83790bl1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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