Atkin-Lehner |
2- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314u |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-15776260304 = -1 · 24 · 76 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -1 3 7- -1 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,391,-5097] |
[a1,a2,a3,a4,a6] |
Generators |
[13:42:1] |
Generators of the group modulo torsion |
j |
56181887/134096 |
j-invariant |
L |
9.3315634019632 |
L(r)(E,1)/r! |
Ω |
0.64180945208806 |
Real period |
R |
0.90871630314184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986d1 |
Quadratic twists by: -7 |