Cremona's table of elliptic curves

15810 = 2 · 3 · 5 · 17 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 17- 31-	Signs for the Atkin-Lehner involutions
Class	15810i	Isogeny class
Conductor	15810	Conductor
∏ cp	280	Product of Tamagawa factors cp
Δ	6104637855703125000 = 23 · 314 · 510 · 17 · 312	Discriminant
Eigenvalues	2+ 3- 5-  2 -4  4 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-554663,-105636094]	[a1,a2,a3,a4,a6]
Generators	[-300:5962:1]	Generators of the group modulo torsion
j	18871663125873531191401/6104637855703125000	j-invariant
L	5.1196477850902	L(r)(E,1)/r!
Ω	0.17943676031674	Real period
R	0.40759666732829	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	126480bh2 47430bd2 79050bm2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 15810i2

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	-4	4	-	4	-4	-6	-	-2	0	2	-8	-10	-14	2	-10	-14	-8	-4	0	-6	-8

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Quadratic twists for elliptic curve 15810i2

-4	-3	5
126480bh2	47430bd2	79050bm2

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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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