Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096q |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
2327914072566368208 = 24 · 314 · 133 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-910794,326410693] |
[a1,a2,a3,a4,a6] |
Generators |
[426:3965:1] |
Generators of the group modulo torsion |
j |
7163688351202097152/199581110473797 |
j-invariant |
L |
7.0242999122337 |
L(r)(E,1)/r! |
Ω |
0.2578901006234 |
Real period |
R |
1.1348987894579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192o1 19032i1 |
Quadratic twists by: -4 -3 |