Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600ch |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1239300000000 = 28 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32175,-2220750] |
[a1,a2,a3,a4,a6] |
j |
1263257424/425 |
j-invariant |
L |
1.4258987083458 |
L(r)(E,1)/r! |
Ω |
0.35647467708722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200br1 3400a1 6120k1 |
Quadratic twists by: -4 -3 5 |