Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336d |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-46765095936 = -1 · 210 · 3 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 0 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,103,-10431] |
[a1,a2,a3,a4,a6] |
Generators |
[288:4881:1] |
Generators of the group modulo torsion |
j |
116872448/45669039 |
j-invariant |
L |
3.0323807286073 |
L(r)(E,1)/r! |
Ω |
0.53127854839719 |
Real period |
R |
5.7077040717111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999982548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cd1 6396e1 |
Quadratic twists by: -4 8 |