Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805o |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
3.3974917509094E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -5 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-839523,94936059] |
[a1,a2,a3,a4,a6] |
Generators |
[-71763464019428734:1574563696970508931:93243153081736] |
Generators of the group modulo torsion |
j |
2166784/1125 |
j-invariant |
L |
10.030070193754 |
L(r)(E,1)/r! |
Ω |
0.18216775389372 |
Real period |
R |
27.52976303261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7935m1 119025bw1 23805u1 |
Quadratic twists by: -3 5 -23 |