Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bh |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
47410868912128 = 226 · 193 · 103 |
Discriminant |
Eigenvalues |
2- -1 2 3 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12257,-399743] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:323:1] |
Generators of the group modulo torsion |
j |
776911912057/180858112 |
j-invariant |
L |
7.2967066459008 |
L(r)(E,1)/r! |
Ω |
0.46135186503168 |
Real period |
R |
2.6359875645691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248h1 31312k1 |
Quadratic twists by: -4 8 |