Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520da |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3287848320000 = -1 · 210 · 311 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6852,-235096] |
[a1,a2,a3,a4,a6] |
j |
-47659369216/4404375 |
j-invariant |
L |
2.087982126208 |
L(r)(E,1)/r! |
Ω |
0.26099775838647 |
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 |
83520gi1 5220i1 27840e1 |
Quadratic twists by: -4 8 -3 |