Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cn |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
35481600 |
Modular degree for the optimal curve |
Δ |
3.4245572186659E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185470776,-390543845760] |
[a1,a2,a3,a4,a6] |
Generators |
[14571:28314:1] |
Generators of the group modulo torsion |
j |
388950302854250851396/188776686710390625 |
j-invariant |
L |
9.3915297709299 |
L(r)(E,1)/r! |
Ω |
0.042954139379826 |
Real period |
R |
4.9691103517769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240l1 |
Quadratic twists by: -11 |