Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856bj |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-63769730969088 = -1 · 29 · 37 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2229,-382066] |
[a1,a2,a3,a4,a6] |
Generators |
[70:342:1] [89:722:1] |
Generators of the group modulo torsion |
j |
3281379256/170850831 |
j-invariant |
L |
8.5246846429494 |
L(r)(E,1)/r! |
Ω |
0.29720735777755 |
Real period |
R |
0.71706541061681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856bf1 41952e1 |
Quadratic twists by: -4 -3 |