Cremona's table of elliptic curves

1353 = 3 · 11 · 41

Field	Data	Notes
Atkin-Lehner	3+ 11- 41+	Signs for the Atkin-Lehner involutions
Class	1353b	Isogeny class
Conductor	1353	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-292942089 = -1 · 310 · 112 · 41	Discriminant
Eigenvalues	-1 3+  2  0 11-  4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,163,-124]	[a1,a2,a3,a4,a6]
j	478762350767/292942089	j-invariant
L	1.0016831005425	L(r)(E,1)/r!
Ω	1.0016831005425	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	21648ba2 86592bb2 4059b2 33825r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1353b2

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	0	-	4	-6	4	6	2	-4	2	+	-2	0	4	2	6	12	0	-6	4	16	8	-6

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Quadratic twists for elliptic curve 1353b2

-4	8	-3	5	-7	-11	41
21648ba2	86592bb2	4059b2	33825r2	66297t2	14883e2	55473n2

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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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