Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792s |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
4431590424576 = 215 · 35 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8769,302337] |
[a1,a2,a3,a4,a6] |
j |
2276006576264/135241407 |
j-invariant |
L |
1.5265562125896 |
L(r)(E,1)/r! |
Ω |
0.76327810806815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bl1 28896v1 |
Quadratic twists by: -4 8 |