Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650ca |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
284198134950 = 2 · 37 · 52 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11818,-494818] |
[a1,a2,a3,a4,a6] |
j |
7301598649053385/11367925398 |
j-invariant |
L |
6.4110920397544 |
L(r)(E,1)/r! |
Ω |
0.45793514591483 |
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 |
58650r1 |
Quadratic twists by: 5 |