Atkin-Lehner |
2- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76850l |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
277344 |
Modular degree for the optimal curve |
Δ |
-38488188221800 = -1 · 23 · 52 · 293 · 534 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22983,-1375823] |
[a1,a2,a3,a4,a6] |
Generators |
[6054:159895:8] |
Generators of the group modulo torsion |
j |
-53703802330074265/1539527528872 |
j-invariant |
L |
6.6547445617861 |
L(r)(E,1)/r! |
Ω |
0.1935459030967 |
Real period |
R |
1.9101826765773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76850d1 |
Quadratic twists by: 5 |