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	11970cd	Isogeny class
Conductor	11970	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	873140708348685000 = 23 · 313 · 54 · 78 · 19	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-15967607,-24554807161]	[a1,a2,a3,a4,a6]
Generators	[578705:3098396:125]	Generators of the group modulo torsion
j	617611911727813844500009/1197723879765000	j-invariant
L	6.9871050901316	L(r)(E,1)/r!
Ω	0.075524811250026	Real period
R	7.7095029815221	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	95760ff4 3990l4 59850cl4 83790dx4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970cd3

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

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Quadratic twists for elliptic curve 11970cd3

-4	-3	5	-7
95760ff4	3990l4	59850cl4	83790dx4

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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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