Atkin-Lehner |
2+ 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254c |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
1834813781444109312 = 210 · 35 · 78 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16162185,-25015759803] |
[a1,a2,a3,a4,a6] |
j |
3968585441073092463625/15595659813888 |
j-invariant |
L |
1.3553367030125 |
L(r)(E,1)/r! |
Ω |
0.075296473261855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322c1 |
Quadratic twists by: -7 |