Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32136c |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4580367992269056 = 28 · 310 · 134 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42892,1057300] |
[a1,a2,a3,a4,a6] |
Generators |
[276678:4570280:729] |
Generators of the group modulo torsion |
j |
34089667401995728/17892062469801 |
j-invariant |
L |
6.0344749928067 |
L(r)(E,1)/r! |
Ω |
0.38205225953363 |
Real period |
R |
7.897447066761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64272f2 96408s2 |
Quadratic twists by: -4 -3 |