Cremona's table of elliptic curves

555 = 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	3- 5- 37-	Signs for the Atkin-Lehner involutions
Class	555b	Isogeny class
Conductor	555	Conductor
∏ cp	15	Product of Tamagawa factors cp
Δ	-61543395 = -1 · 35 · 5 · 373	Discriminant
Eigenvalues	0 3- 5-  2  0 -1  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-196805,-33670564]	[a1,a2,a3,a4,a6]
j	-843013059301831868416/61543395	j-invariant
L	1.7000104938638	L(r)(E,1)/r!
Ω	0.11333403292425	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8880r2 35520b2 1665c2 2775a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 555b2

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	-	-	2	0	-1	6	2	-6	9	2	-	0	-1	9	3	-3	-10	-4	0	-10	-4	-9	3	-10

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Quadratic twists for elliptic curve 555b2

-4	8	-3	5	-7	-11	13	37
8880r2	35520b2	1665c2	2775a2	27195d2	67155s2	93795n2	20535b2

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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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