Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432by |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
6188678774784 = 225 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12387,516962] |
[a1,a2,a3,a4,a6] |
j |
70393838689/2072576 |
j-invariant |
L |
3.0047040400234 |
L(r)(E,1)/r! |
Ω |
0.75117601000339 |
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 |
4554h1 4048f1 |
Quadratic twists by: -4 -3 |