Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271n |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-7.9881767729414E+21 |
Discriminant |
Eigenvalues |
1 3+ -4 -2 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43431482,-110269893105] |
[a1,a2,a3,a4,a6] |
Generators |
[4766234232515928061752:-512237510358619732786173:320676445353922048] |
Generators of the group modulo torsion |
j |
-1877057431204035025009/1654960196879847 |
j-invariant |
L |
3.2712446335456 |
L(r)(E,1)/r! |
Ω |
0.029403256588764 |
Real period |
R |
27.813627182103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999992869601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867d1 |
Quadratic twists by: 13 |