Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672dh |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
25772032 = 214 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -3 0 0 11- 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,-1232] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4:1] |
Generators of the group modulo torsion |
j |
594000/13 |
j-invariant |
L |
3.0977827713762 |
L(r)(E,1)/r! |
Ω |
1.2412870922764 |
Real period |
R |
1.2478107577707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672x1 25168l1 100672ei1 |
Quadratic twists by: -4 8 -11 |