Cremona's table of elliptic curves

3553 = 11 · 17 · 19

Field	Data	Notes
Atkin-Lehner	11+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	3553b	Isogeny class
Conductor	3553	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-80393731 = -1 · 114 · 172 · 19	Discriminant
Eigenvalues	1  2 -2  4 11+ -2 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,59,420]	[a1,a2,a3,a4,a6]
Generators	[276:1647:64]	Generators of the group modulo torsion
j	22117051943/80393731	j-invariant
L	5.4393303700171	L(r)(E,1)/r!
Ω	1.3687541104255	Real period
R	3.9739280624524	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	56848k2 31977w2 88825f2 39083i2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3553b2

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

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Quadratic twists for elliptic curve 3553b2

-4	-3	5	-11	17	-19
56848k2	31977w2	88825f2	39083i2	60401i2	67507f2

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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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