Atkin-Lehner |
2- 3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bp |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
5394747359232 = 228 · 32 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8064,258048] |
[a1,a2,a3,a4,a6] |
j |
14160193117057/1317076992 |
j-invariant |
L |
1.4856071063618 |
L(r)(E,1)/r! |
Ω |
0.74280330839876 |
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 |
13398bj1 |
Quadratic twists by: -4 |