Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38318p |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1109411712991232 = 220 · 76 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25906,-80335] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:1135:1] [-61:1157:1] |
Generators of the group modulo torsion |
j |
16342588257633/9429843968 |
j-invariant |
L |
11.155428922522 |
L(r)(E,1)/r! |
Ω |
0.4104868678084 |
Real period |
R |
1.3588046046493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782e1 |
Quadratic twists by: -7 |