Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56800f |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
630125000000 = 26 · 59 · 712 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4758,-122012] |
[a1,a2,a3,a4,a6] |
j |
11914842304/630125 |
j-invariant |
L |
2.3068667670893 |
L(r)(E,1)/r! |
Ω |
0.5767166914883 |
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 |
56800m1 113600be2 11360n1 |
Quadratic twists by: -4 8 5 |