Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432bt |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
6796239960315396096 = 217 · 318 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-659451,-163565782] |
[a1,a2,a3,a4,a6] |
j |
10621450496611513/2276047011744 |
j-invariant |
L |
4.0818978952417 |
L(r)(E,1)/r! |
Ω |
0.17007907896771 |
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 |
4554bf1 12144x1 |
Quadratic twists by: -4 -3 |