Atkin-Lehner |
2+ 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050bd |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
54327941894531250 = 2 · 37 · 515 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-312001,-66160102] |
[a1,a2,a3,a4,a6] |
j |
214965934543825921/3476988281250 |
j-invariant |
L |
2.8308353874314 |
L(r)(E,1)/r! |
Ω |
0.20220252765715 |
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 |
12210v1 |
Quadratic twists by: 5 |