Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920q |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-53613342720 = -1 · 212 · 39 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,779,-7619] |
[a1,a2,a3,a4,a6] |
j |
12747309056/13089195 |
j-invariant |
L |
0.60834833062329 |
L(r)(E,1)/r! |
Ω |
0.60834833062441 |
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 |
1995f1 127680fx1 95760ei1 |
Quadratic twists by: -4 8 -3 |