Cremona's table of elliptic curves

1342 = 2 · 11 · 61

Field	Data	Notes
Atkin-Lehner	2- 11- 61-	Signs for the Atkin-Lehner involutions
Class	1342c	Isogeny class
Conductor	1342	Conductor
∏ cp	125	Product of Tamagawa factors cp
Δ	4352738523915232 = 25 · 115 · 615	Discriminant
Eigenvalues	2- -1 -4 -2 11- -1  3  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-187880,-31262199]	[a1,a2,a3,a4,a6]
j	733441552889589371521/4352738523915232	j-invariant
L	1.1469768097892	L(r)(E,1)/r!
Ω	0.22939536195784	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	10736f2 42944a2 12078j2 33550e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1342c2

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	-4	-2	-	-1	3	0	4	10	7	3	-8	-11	-12	9	0	-	8	-3	14	0	14	0	-17

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Quadratic twists for elliptic curve 1342c2

-4	8	-3	5	-7	-11	61
10736f2	42944a2	12078j2	33550e2	65758u2	14762b2	81862b2

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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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