Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850bl |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
391199625000000 = 26 · 310 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-103617,12828541] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:5153:1] |
Generators of the group modulo torsion |
j |
86409510461/274752 |
j-invariant |
L |
3.0781273372233 |
L(r)(E,1)/r! |
Ω |
0.53610997148218 |
Real period |
R |
1.4353992188922 |
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 |
7950bl1 23850de1 |
Quadratic twists by: -3 5 |