Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672g |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
351424 = 26 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] [64:510:1] |
Generators of the group modulo torsion |
j |
51478848/5491 |
j-invariant |
L |
6.7901284241125 |
L(r)(E,1)/r! |
Ω |
2.0372669337282 |
Real period |
R |
6.665919238857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672b1 10336h2 |
Quadratic twists by: -4 8 |