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	11970bn	Isogeny class
Conductor	11970	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-794048494932472500 = -1 · 22 · 39 · 54 · 73 · 196	Discriminant
Eigenvalues	2- 3+ 5- 7-  0 -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,101113,-41073101]	[a1,a2,a3,a4,a6]
Generators	[379:6992:1]	Generators of the group modulo torsion
j	5808412272111093/40341842957500	j-invariant
L	7.426188341808	L(r)(E,1)/r!
Ω	0.14104173720902	Real period
R	0.73128356746259	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	95760cl4 11970e2 59850g4 83790cs4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970bn4

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
-	+	-	-	0	-4	-6	-	0	-6	-4	2	6	-4	6	6	0	-10	-10	0	14	-10	-6	-6	8

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Quadratic twists for elliptic curve 11970bn4

-4	-3	5	-7
95760cl4	11970e2	59850g4	83790cs4

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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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