Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bz |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
8553600 |
Modular degree for the optimal curve |
Δ |
1.1922952432576E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106240703,421481139815] |
[a1,a2,a3,a4,a6] |
Generators |
[5125:105090:1] |
Generators of the group modulo torsion |
j |
181915199617140665149942441/16355215956894889984 |
j-invariant |
L |
10.21132067443 |
L(r)(E,1)/r! |
Ω |
0.12142802818687 |
Real period |
R |
0.4247151783068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462e1 |
Quadratic twists by: -3 |