Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672db |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
194900992 = 210 · 114 · 13 |
Discriminant |
Eigenvalues |
2- -1 -4 0 11- 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-645,-6059] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:4:1] |
Generators of the group modulo torsion |
j |
1982464/13 |
j-invariant |
L |
2.8461251959702 |
L(r)(E,1)/r! |
Ω |
0.9476001415245 |
Real period |
R |
1.5017543041815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672m1 25168bk1 100672eb1 |
Quadratic twists by: -4 8 -11 |