Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232ca |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-50163211056816 = -1 · 24 · 310 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13069,-672814] |
[a1,a2,a3,a4,a6] |
Generators |
[7046:591408:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
7.2467074101322 |
L(r)(E,1)/r! |
Ω |
0.22084372492369 |
Real period |
R |
6.5627469529675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308b1 528i1 |
Quadratic twists by: -4 13 |