Atkin-Lehner |
3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717w |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-68447802357 = -1 · 36 · 116 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 4 11- 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340,12268] |
[a1,a2,a3,a4,a6] |
j |
3375/53 |
j-invariant |
L |
1.6320271315486 |
L(r)(E,1)/r! |
Ω |
0.81601356575054 |
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 |
6413g1 477a1 |
Quadratic twists by: -3 -11 |