Atkin-Lehner |
2+ 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254f |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
8596230306048 = 28 · 33 · 76 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8404,-264368] |
[a1,a2,a3,a4,a6] |
j |
558051585337/73066752 |
j-invariant |
L |
1.005859654985 |
L(r)(E,1)/r! |
Ω |
0.50292974539335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046e1 |
Quadratic twists by: -7 |