Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850de |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
25036776000 = 26 · 310 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4145,103457] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-104:1] |
Generators of the group modulo torsion |
j |
86409510461/274752 |
j-invariant |
L |
8.3546711129727 |
L(r)(E,1)/r! |
Ω |
1.1987783396496 |
Real period |
R |
0.58077675390032 |
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 |
7950x1 23850bl1 |
Quadratic twists by: -3 5 |