Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950cd |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
583200 |
Modular degree for the optimal curve |
Δ |
676209199218750 = 2 · 35 · 510 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85638,-9600219] |
[a1,a2,a3,a4,a6] |
Generators |
[-80347215674496125398:64252733961970450611:442280040617802808] |
Generators of the group modulo torsion |
j |
7112520550825/69243822 |
j-invariant |
L |
8.8883367681418 |
L(r)(E,1)/r! |
Ω |
0.27924677179447 |
Real period |
R |
31.829684945055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bv1 |
Quadratic twists by: 5 |