Cremona's table of elliptic curves

369 = 3² · 41

Field	Data	Notes
Atkin-Lehner	3- 41+	Signs for the Atkin-Lehner involutions
Class	369b	Isogeny class
Conductor	369	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	-7263027 = -1 · 311 · 41	Discriminant
Eigenvalues	2 3-  4 -2  3 -6 -3  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-93,-369]	[a1,a2,a3,a4,a6]
j	-122023936/9963	j-invariant
L	3.060436620844	L(r)(E,1)/r!
Ω	0.76510915521099	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	5904o1 23616m1 123a1 9225t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 369b1

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	-2	3	-6	-3	0	6	-5	7	-7	+	-1	-3	6	0	-3	-2	3	-11	10	16	10	-12

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Quadratic twists for elliptic curve 369b1

-4	8	-3	5	-7	-11	13	17	41
5904o1	23616m1	123a1	9225t1	18081n1	44649q1	62361j1	106641i1	15129e1

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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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