Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bw |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
1.0564389180851E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24264347,43271234763] |
[a1,a2,a3,a4,a6] |
Generators |
[2057:44358:1] |
Generators of the group modulo torsion |
j |
2167214967262362728787049/144916175320321257216 |
j-invariant |
L |
10.896940303423 |
L(r)(E,1)/r! |
Ω |
0.10394229689128 |
Real period |
R |
0.23400990925223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386e1 |
Quadratic twists by: -3 |