Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bn |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
21367819872387072 = 214 · 35 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95793,8954991] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-3087:1] |
Generators of the group modulo torsion |
j |
5933482010818000/1304188224633 |
j-invariant |
L |
6.8619517707485 |
L(r)(E,1)/r! |
Ω |
0.36101887264949 |
Real period |
R |
0.38014365954828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536bt1 3192d1 76608cb1 |
Quadratic twists by: -4 8 -3 |