Cremona's table of elliptic curves

3380 = 2² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	3380a	Isogeny class
Conductor	3380	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	55143396739600 = 24 · 52 · 1310	Discriminant
Eigenvalues	2-  1 5+  1 -3 13+ -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-14461386,-21172000615]	[a1,a2,a3,a4,a6]
j	151635187115776/25	j-invariant
L	1.858053926009	L(r)(E,1)/r!
Ω	0.077418913583709	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13520r2 54080bk2 30420q2 16900i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3380a2

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	+	1	-3	+	-3	7	-3	3	4	7	9	11	0	-6	3	11	7	3	-2	8	12	-15	7

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Quadratic twists for elliptic curve 3380a2

-4	8	-3	5	13
13520r2	54080bk2	30420q2	16900i2	3380f2

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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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