Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bm |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
723432448 = 210 · 193 · 103 |
Discriminant |
Eigenvalues |
2- -3 0 5 2 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280,-1256] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:19:1] |
Generators of the group modulo torsion |
j |
2370816000/706477 |
j-invariant |
L |
5.3476248714207 |
L(r)(E,1)/r! |
Ω |
1.1939359944663 |
Real period |
R |
0.74649795559501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000369395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248n1 31312c1 |
Quadratic twists by: -4 8 |