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	2350b	Isogeny class
Conductor	2350	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-2937500 = -1 · 22 · 56 · 47	Discriminant
Eigenvalues	2+  0 5+  0  2  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,8,-84]	[a1,a2,a3,a4,a6]
j	3375/188	j-invariant
L	1.2135002336629	L(r)(E,1)/r!
Ω	1.2135002336629	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18800p1 75200p1 21150bw1 94a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2350b1

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	+	0	2	4	2	-2	-4	4	4	-2	6	-6	-	-2	12	2	-2	8	14	-16	16	-10	14

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Quadratic twists for elliptic curve 2350b1

-4	8	-3	5	-7	-47
18800p1	75200p1	21150bw1	94a1	115150d1	110450a1

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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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