Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792bl |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
30 |
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] |
Generators |
[-54:129:1] |
Generators of the group modulo torsion |
j |
2276006576264/135241407 |
j-invariant |
L |
9.8119389648837 |
L(r)(E,1)/r! |
Ω |
0.49518563700156 |
Real period |
R |
0.66048893126171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792s1 28896b1 |
Quadratic twists by: -4 8 |