Cremona's table of elliptic curves

3552 = 2⁵ · 3 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 37+	Signs for the Atkin-Lehner involutions
Class	3552d	Isogeny class
Conductor	3552	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	80460405485568 = 212 · 315 · 372	Discriminant
Eigenvalues	2+ 3-  0 -4 -4 -2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-76527553,-257702035153]	[a1,a2,a3,a4,a6]
j	12100888248456939565096000/19643653683	j-invariant
L	1.5313214016063	L(r)(E,1)/r!
Ω	0.051044046720209	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	3552b2 7104s1 10656p2 88800bp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3552d2

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

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Quadratic twists for elliptic curve 3552d2

-4	8	-3	5
3552b2	7104s1	10656p2	88800bp2

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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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