Atkin-Lehner |
2+ 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910f |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
73638791490600000 = 26 · 310 · 55 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137323,14543677] |
[a1,a2,a3,a4,a6] |
j |
2434278488702761/625919400000 |
j-invariant |
L |
0.64614086197196 |
L(r)(E,1)/r! |
Ω |
0.32307042108306 |
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 |
1590i1 |
Quadratic twists by: -7 |