Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hx |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
401408 |
Modular degree for the optimal curve |
Δ |
11296427329152000 = 210 · 37 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56595,840350] |
[a1,a2,a3,a4,a6] |
Generators |
[235:720:1] |
Generators of the group modulo torsion |
j |
5324/3 |
j-invariant |
L |
7.1420786170279 |
L(r)(E,1)/r! |
Ω |
0.34797044080889 |
Real period |
R |
2.5656197261381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ba1 88200dk1 88200hy1 |
Quadratic twists by: -3 5 -7 |