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	3360l	Isogeny class
Conductor	3360	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	189000000 = 26 · 33 · 56 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7+  2 -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-210,900]	[a1,a2,a3,a4,a6]
Generators	[0:30:1]	Generators of the group modulo torsion
j	16079333824/2953125	j-invariant
L	4.1636399855027	L(r)(E,1)/r!
Ω	1.706562803593	Real period
R	0.27108680915923	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3360h1 6720be2 10080bl1 16800bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360l1

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

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Quadratic twists for elliptic curve 3360l1

-4	8	-3	5	-7
3360h1	6720be2	10080bl1	16800bh1	23520b1

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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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