Cremona's table of elliptic curves

3360 = 2⁵ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	3360u	Isogeny class
Conductor	3360	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-1701000000000000 = -1 · 212 · 35 · 512 · 7	Discriminant
Eigenvalues	2- 3- 5+ 7- -4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11761,-2048065]	[a1,a2,a3,a4,a6]
j	-43927191786304/415283203125	j-invariant
L	2.0010494872903	L(r)(E,1)/r!
Ω	0.20010494872903	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	3360b4 6720m1 10080bb4 16800e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360u4

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
-	-	+	-	-4	-2	-2	4	0	10	0	6	-10	8	4	6	0	10	8	8	-2	-4	12	6	6

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Quadratic twists for elliptic curve 3360u4

-4	8	-3	5	-7
3360b4	6720m1	10080bb4	16800e4	23520bl2

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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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