Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296c |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-175286592 = -1 · 26 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,484] |
[a1,a2,a3,a4,a6] |
Generators |
[0:22:1] [60:472:1] |
Generators of the group modulo torsion |
j |
2744000/3757 |
j-invariant |
L |
10.688150314406 |
L(r)(E,1)/r! |
Ω |
1.2188498795721 |
Real period |
R |
8.769045711082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296b1 63648j2 14144d1 |
Quadratic twists by: -4 8 -3 |