Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700ch |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-6.956134879995E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908000,-4373237500] |
[a1,a2,a3,a4,a6] |
j |
-35870699159552/1908404631 |
j-invariant |
L |
0.60671230142993 |
L(r)(E,1)/r! |
Ω |
0.050559357815338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900p1 119700bv1 |
Quadratic twists by: -3 5 |