Cremona's table of elliptic curves

3420 = 2² · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	3420c	Isogeny class
Conductor	3420	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	617336050482000 = 24 · 38 · 53 · 196	Discriminant
Eigenvalues	2- 3- 5-  2  0 -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-23952,778921]	[a1,a2,a3,a4,a6]
Generators	[-88:1485:1]	Generators of the group modulo torsion
j	130287139815424/52926616125	j-invariant
L	3.7926338021397	L(r)(E,1)/r!
Ω	0.46626530201986	Real period
R	2.7113560925579	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	13680bm3 54720q3 1140c3 17100z3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3420c3

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	0	-4	-6	-	-6	-6	8	-4	6	-10	-6	-12	-12	-10	-4	0	14	8	18	6	8

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Quadratic twists for elliptic curve 3420c3

-4	8	-3	5	-19
13680bm3	54720q3	1140c3	17100z3	64980bi3

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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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