Cremona's table of elliptic curves

3654 = 2 · 3² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 29+	Signs for the Atkin-Lehner involutions
Class	3654p	Isogeny class
Conductor	3654	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-137507328 = -1 · 29 · 33 · 73 · 29	Discriminant
Eigenvalues	2- 3+  0 7- -3 -1  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,115,-331]	[a1,a2,a3,a4,a6]
Generators	[3:4:1]	Generators of the group modulo torsion
j	6280426125/5092864	j-invariant
L	5.1214428704526	L(r)(E,1)/r!
Ω	1.0215875435444	Real period
R	0.83553662839368	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	29232q1 116928p1 3654d2 91350c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654p1

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	-	-3	-1	0	-7	-3	+	-4	-7	0	-4	-3	9	9	2	-7	0	11	-4	-3	-12	5

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Quadratic twists for elliptic curve 3654p1

-4	8	-3	5	-7	29
29232q1	116928p1	3654d2	91350c1	25578bb1	105966g1

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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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