Cremona's table of elliptic curves

2350 = 2 · 5² · 47

Field	Data	Notes
Atkin-Lehner	2- 5+ 47-	Signs for the Atkin-Lehner involutions
Class	2350l	Isogeny class
Conductor	2350	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	136082882560000000 = 224 · 57 · 473	Discriminant
Eigenvalues	2- -1 5+  1  3 -5 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-158688,16577281]	[a1,a2,a3,a4,a6]
Generators	[-35:4717:1]	Generators of the group modulo torsion
j	28283693153853241/8709304483840	j-invariant
L	3.8944666089655	L(r)(E,1)/r!
Ω	0.30372341550757	Real period
R	0.089044524148751	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18800s2 75200t2 21150p2 470b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2350l2

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
-	-1	+	1	3	-5	-6	-1	0	-6	5	-8	0	-8	-	0	-6	5	4	-12	-5	2	15	6	16

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Quadratic twists for elliptic curve 2350l2

-4	8	-3	5	-7	-47
18800s2	75200t2	21150p2	470b2	115150bu2	110450bb2

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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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