Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bf |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2426112 |
Modular degree for the optimal curve |
Δ |
1341652077089685504 = 215 · 33 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 11+ 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-923472,-336688704] |
[a1,a2,a3,a4,a6] |
j |
154241737/2376 |
j-invariant |
L |
0.61660773735087 |
L(r)(E,1)/r! |
Ω |
0.1541519267854 |
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 |
11154bi1 89232bp1 |
Quadratic twists by: -4 13 |