Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820w |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
23396352 |
Modular degree for the optimal curve |
Δ |
-9.6829323526917E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38880888,117074631341] |
[a1,a2,a3,a4,a6] |
Generators |
[-1073:272250:1] |
Generators of the group modulo torsion |
j |
557294461262678019670016/830155380031866796875 |
j-invariant |
L |
7.927433728942 |
L(r)(E,1)/r! |
Ω |
0.049339095800632 |
Real period |
R |
1.4345755040368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940c1 |
Quadratic twists by: -3 |