Cremona's table of elliptic curves

Curve 3680d3

3680 = 25 · 5 · 23



Data for elliptic curve 3680d3

Field Data Notes
Atkin-Lehner 2- 5+ 23+ Signs for the Atkin-Lehner involutions
Class 3680d Isogeny class
Conductor 3680 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 2355200 = 212 · 52 · 23 Discriminant
Eigenvalues 2-  0 5+  0 -4 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-3068,65408] [a1,a2,a3,a4,a6]
j 779704121664/575 j-invariant
L 1.0734205625261 L(r)(E,1)/r!
Ω 2.1468411250522 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 3680g2 7360t1 33120r4 18400e3 Quadratic twists by: -4 8 -3 5


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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