Atkin-Lehner |
2- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104780i |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
19648512 |
Modular degree for the optimal curve |
Δ |
6.9572942090618E+24 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83183546,263024988745] |
[a1,a2,a3,a4,a6] |
Generators |
[-5122:744775:1] |
Generators of the group modulo torsion |
j |
4877184732669193984/533056898400625 |
j-invariant |
L |
3.2062048913928 |
L(r)(E,1)/r! |
Ω |
0.072385129341814 |
Real period |
R |
0.92278532180828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104780l1 |
Quadratic twists by: 13 |