Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432cd |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
413354232725372928 = 228 · 37 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6349179,-6157706582] |
[a1,a2,a3,a4,a6] |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
1.1413051802063 |
L(r)(E,1)/r! |
Ω |
0.095108765017339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4554bc1 12144bh1 |
Quadratic twists by: -4 -3 |