Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bx |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-1.3644252105933E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4601675,-18173471750] |
[a1,a2,a3,a4,a6] |
j |
-168380411424176601/2131914391552000 |
j-invariant |
L |
1.4158699104629 |
L(r)(E,1)/r! |
Ω |
0.044245936247565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450r1 16720bj1 |
Quadratic twists by: -4 5 |