Atkin-Lehner |
2+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520b |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
35580160 = 28 · 5 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,282] |
[a1,a2,a3,a4,a6] |
Generators |
[19:72:1] |
Generators of the group modulo torsion |
j |
472058064/138985 |
j-invariant |
L |
4.5444890801413 |
L(r)(E,1)/r! |
Ω |
1.9153357967597 |
Real period |
R |
2.3726852950821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040g1 |
Quadratic twists by: -4 |