Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504r |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
62980096 = 216 · 312 |
Discriminant |
Eigenvalues |
2+ -1 3 5 1 1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,-1759] |
[a1,a2,a3,a4,a6] |
j |
42532 |
j-invariant |
L |
4.636944694575 |
L(r)(E,1)/r! |
Ω |
1.159236174749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504br1 7688j1 61504b1 |
Quadratic twists by: -4 8 -31 |