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	11970bp	Isogeny class
Conductor	11970	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	73701173216160000 = 28 · 312 · 54 · 74 · 192	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-130118,12512981]	[a1,a2,a3,a4,a6]
Generators	[-95:4947:1]	Generators of the group modulo torsion
j	334199035754662681/101099003040000	j-invariant
L	6.2405566177791	L(r)(E,1)/r!
Ω	0.32000773575523	Real period
R	1.2188292501452	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	95760dp2 3990p2 59850bs2 83790fj2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970bp2

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	-2	-2	+	4	6	-8	-2	2	4	4	6	-4	-2	12	8	-6	-16	-16	2	-14

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Quadratic twists for elliptic curve 11970bp2

-4	-3	5	-7
95760dp2	3990p2	59850bs2	83790fj2

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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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