Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56100a |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-37867500000000 = -1 · 28 · 34 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1667,-295463] |
[a1,a2,a3,a4,a6] |
j |
204800/15147 |
j-invariant |
L |
0.61792566557019 |
L(r)(E,1)/r! |
Ω |
0.3089628334774 |
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 |
56100bc1 |
Quadratic twists by: 5 |