Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cy |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5195612160 = -1 · 214 · 37 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,3616] |
[a1,a2,a3,a4,a6] |
j |
-65536/435 |
j-invariant |
L |
2.3442455053858 |
L(r)(E,1)/r! |
Ω |
1.1721227510571 |
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 |
83520gg1 5220g1 27840bj1 |
Quadratic twists by: -4 8 -3 |