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	3654d	Isogeny class
Conductor	3654	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-36876168 = -1 · 23 · 33 · 7 · 293	Discriminant
Eigenvalues	2+ 3+  0 7-  3 -1  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-267,1773]	[a1,a2,a3,a4,a6]
Generators	[3:30:1]	Generators of the group modulo torsion
j	-78128296875/1365784	j-invariant
L	2.7733449883154	L(r)(E,1)/r!
Ω	2.059029372067	Real period
R	2.0203779212226	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	29232s1 116928l1 3654p2 91350de1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654d1

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 3654d1

-4	8	-3	5	-7	29
29232s1	116928l1	3654p2	91350de1	25578e1	105966bm1

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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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