Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608g |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
13780647936 = 218 · 34 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1057,-11615] |
[a1,a2,a3,a4,a6] |
j |
498677257/52569 |
j-invariant |
L |
1.6858829505887 |
L(r)(E,1)/r! |
Ω |
0.84294200771252 |
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 |
124608dg1 1947e1 |
Quadratic twists by: -4 8 |