Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944dr |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
35488531456 = 210 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 3 -6 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38481,-2918329] |
[a1,a2,a3,a4,a6] |
j |
125596636689664/707281 |
j-invariant |
L |
1.3634748440538 |
L(r)(E,1)/r! |
Ω |
0.34086873865708 |
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 |
90944bs1 22736h1 90944cu1 |
Quadratic twists by: -4 8 -7 |