Atkin-Lehner |
2- 3- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818bm |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
78400 |
Modular degree for the optimal curve |
Δ |
3541726944 = 25 · 36 · 7 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389,-611] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:52:1] |
Generators of the group modulo torsion |
j |
8908363017/4858336 |
j-invariant |
L |
8.8450942591968 |
L(r)(E,1)/r! |
Ω |
1.1477423361933 |
Real period |
R |
0.77065156071159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202e1 |
Quadratic twists by: -3 |