Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bo |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-767775316377600 = -1 · 224 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22452,-317072] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4900:1] |
Generators of the group modulo torsion |
j |
6549699311/4017600 |
j-invariant |
L |
5.103418679512 |
L(r)(E,1)/r! |
Ω |
0.29212385703109 |
Real period |
R |
4.3675127501129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ed1 2790k1 29760bj1 |
Quadratic twists by: -4 8 -3 |