Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400by |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
4080000000000 = 213 · 3 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,108912] |
[a1,a2,a3,a4,a6] |
j |
390625/102 |
j-invariant |
L |
2.9221140509562 |
L(r)(E,1)/r! |
Ω |
0.73052851273905 |
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 |
2550i1 81600ic1 61200fw1 20400dx1 |
Quadratic twists by: -4 8 -3 5 |