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	11970l	Isogeny class
Conductor	11970	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	31104	Modular degree for the optimal curve
Δ	-1296351000000 = -1 · 26 · 33 · 56 · 7 · 193	Discriminant
Eigenvalues	2+ 3+ 5- 7- -6  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,2001,42093]	[a1,a2,a3,a4,a6]
j	32807952226197/48013000000	j-invariant
L	1.1654553553458	L(r)(E,1)/r!
Ω	0.58272767767292	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	95760cq1 11970bi3 59850eb1 83790g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970l1

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
+	+	-	-	-6	2	-6	-	-6	6	8	2	-12	8	12	6	-6	-4	-10	0	-16	-10	12	0	2

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Quadratic twists for elliptic curve 11970l1

-4	-3	5	-7
95760cq1	11970bi3	59850eb1	83790g1

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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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