Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cq |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
3.7180804649625E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38364813,86627641617] |
[a1,a2,a3,a4,a6] |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
3.753284336881 |
L(r)(E,1)/r! |
Ω |
0.093832108422026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ed1 40950bi1 2730i1 95550gz1 |
Quadratic twists by: -4 -3 5 -7 |