Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600g |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
613700000000 = 28 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2908,-46188] |
[a1,a2,a3,a4,a6] |
j |
680136784/153425 |
j-invariant |
L |
5.2849435336381 |
L(r)(E,1)/r! |
Ω |
0.66061794308372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200u1 12920h1 |
Quadratic twists by: -4 5 |