Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920cg |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
67552811827200 = 214 · 311 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28048200,-57184275852] |
[a1,a2,a3,a4,a6] |
j |
595770186172725915913801/16492385700 |
j-invariant |
L |
2.8865293716818 |
L(r)(E,1)/r! |
Ω |
0.065602940265584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990h1 127680dy1 95760ef1 |
Quadratic twists by: -4 8 -3 |