Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330ei |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1103611457812500 = -1 · 22 · 38 · 58 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9787,-1556719] |
[a1,a2,a3,a4,a6] |
Generators |
[2775:144862:1] |
Generators of the group modulo torsion |
j |
2902621910951/30895312500 |
j-invariant |
L |
9.1468814278293 |
L(r)(E,1)/r! |
Ω |
0.24133818800061 |
Real period |
R |
1.5791949987574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bi1 57330ep1 |
Quadratic twists by: -3 -7 |