Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bi |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64768 |
Modular degree for the optimal curve |
Δ |
-6605078528 = -1 · 215 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- -1 -2 3 0 -7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,191,3713] |
[a1,a2,a3,a4,a6] |
Generators |
[16:103:1] |
Generators of the group modulo torsion |
j |
23393656/201571 |
j-invariant |
L |
4.4710347647049 |
L(r)(E,1)/r! |
Ω |
0.97636059931637 |
Real period |
R |
1.1448215840316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248ba1 62624b1 |
Quadratic twists by: -4 8 |