Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600bp |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1504051200000000 = 223 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-460833,120549537] |
[a1,a2,a3,a4,a6] |
j |
105695235625/14688 |
j-invariant |
L |
1.8418327614471 |
L(r)(E,1)/r! |
Ω |
0.46045819283792 |
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 |
81600je1 2550n1 81600dn1 |
Quadratic twists by: -4 8 5 |