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	2350n	Isogeny class
Conductor	2350	Conductor
∏ cp	100	Product of Tamagawa factors cp
Δ	29356160896000 = 210 · 53 · 475	Discriminant
Eigenvalues	2- -1 5-  3 -3 -1 -2  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8903,187581]	[a1,a2,a3,a4,a6]
j	624346768216709/234849287168	j-invariant
L	2.4199534479216	L(r)(E,1)/r!
Ω	0.60498836198039	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	18800bi2 75200bt2 21150be2 2350e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2350n2

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	-	3	-3	-1	-2	5	4	10	-3	8	12	-6	-	-6	0	7	-2	2	-11	10	-1	10	8

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Quadratic twists for elliptic curve 2350n2

-4	8	-3	5	-7	-47
18800bi2	75200bt2	21150be2	2350e2	115150ct2	110450bn2

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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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