Atkin-Lehner |
3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395i |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
10640 |
Modular degree for the optimal curve |
Δ |
-9650590546875 = -1 · 3 · 57 · 175 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 1 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3095,-132941] |
[a1,a2,a3,a4,a6] |
j |
3277670884573184/9650590546875 |
j-invariant |
L |
2.6090424516648 |
L(r)(E,1)/r! |
Ω |
0.37272035023782 |
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 |
118320bq1 22185k1 36975k1 125715a1 |
Quadratic twists by: -4 -3 5 17 |