Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ex |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-15891266880 = -1 · 26 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-9632] |
[a1,a2,a3,a4,a6] |
j |
-895841344/340605 |
j-invariant |
L |
0.90361348969329 |
L(r)(E,1)/r! |
Ω |
0.451806760405 |
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 |
83520ev1 41760i2 27840dv1 |
Quadratic twists by: -4 8 -3 |