Cremona's table of elliptic curves

2530 = 2 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 23+	Signs for the Atkin-Lehner involutions
Class	2530i	Isogeny class
Conductor	2530	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-988420227050781250 = -1 · 2 · 515 · 113 · 233	Discriminant
Eigenvalues	2- -2 5+ -1 11-  2  0 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,11979,-47829485]	[a1,a2,a3,a4,a6]
Generators	[62260:1872475:64]	Generators of the group modulo torsion
j	190100448264724271/988420227050781250	j-invariant
L	3.1950903617871	L(r)(E,1)/r!
Ω	0.1286586366514	Real period
R	8.277952792873	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	20240m2 80960t2 22770u2 12650m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530i2

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
-	-2	+	-1	-	2	0	-1	+	3	-4	-10	-6	8	9	-6	-9	2	-7	-12	-7	-10	12	6	5

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Quadratic twists for elliptic curve 2530i2

-4	8	-3	5	-7	-11	-23
20240m2	80960t2	22770u2	12650m2	123970by2	27830d2	58190bd2

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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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