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	11970d	Isogeny class
Conductor	11970	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4992	Modular degree for the optimal curve
Δ	-261783900 = -1 · 22 · 39 · 52 · 7 · 19	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -2  6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-15,-775]	[a1,a2,a3,a4,a6]
j	-19683/13300	j-invariant
L	1.5720141674139	L(r)(E,1)/r!
Ω	0.78600708370696	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	95760ca1 11970bm1 59850dp1 83790q1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970d1

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	6	-2	+	6	6	0	10	0	8	-4	6	-10	-8	2	0	-4	10	4	-12	-2

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Quadratic twists for elliptic curve 11970d1

-4	-3	5	-7
95760ca1	11970bm1	59850dp1	83790q1

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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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