Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5280j |
Isogeny class |
Conductor |
5280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
43560000 = 26 · 32 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186,-864] |
[a1,a2,a3,a4,a6] |
Generators |
[18:36:1] |
Generators of the group modulo torsion |
j |
11179320256/680625 |
j-invariant |
L |
3.0365342294024 |
L(r)(E,1)/r! |
Ω |
1.2971145103845 |
Real period |
R |
2.3409916434457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5280f1 10560y2 15840p1 26400s1 |
Quadratic twists by: -4 8 -3 5 |