Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810x |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
249628262400 = 216 · 36 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1748,15031] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:197:1] |
Generators of the group modulo torsion |
j |
809818183161/342425600 |
j-invariant |
L |
7.6131232127925 |
L(r)(E,1)/r! |
Ω |
0.89074067971069 |
Real period |
R |
0.53418487741469 |
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 |
2090h1 94050be1 |
Quadratic twists by: -3 5 |