Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bn |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
5657051075190980608 = 224 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 11- 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488033,-64066847] |
[a1,a2,a3,a4,a6] |
Generators |
[-690557:6467660:4913] |
Generators of the group modulo torsion |
j |
1890625/832 |
j-invariant |
L |
4.3124198108995 |
L(r)(E,1)/r! |
Ω |
0.1880965669265 |
Real period |
R |
11.46331340092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dl1 3146b1 100672o1 |
Quadratic twists by: -4 8 -11 |