Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
68900b |
Isogeny class |
Conductor |
68900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
57324800 = 28 · 52 · 132 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,423] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:26:1] [2:13:1] |
Generators of the group modulo torsion |
j |
40960000/8957 |
j-invariant |
L |
8.0107566980764 |
L(r)(E,1)/r! |
Ω |
1.8703404504351 |
Real period |
R |
0.71384122395715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68900h1 |
Quadratic twists by: 5 |