Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dx |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
80922380018472720 = 24 · 311 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45547898,118329331241] |
[a1,a2,a3,a4,a6] |
Generators |
[-3617:487345:1] |
Generators of the group modulo torsion |
j |
2969894891179808929/22997520 |
j-invariant |
L |
8.7677699693529 |
L(r)(E,1)/r! |
Ω |
0.23663217018148 |
Real period |
R |
4.6315395126237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bl1 8190u1 |
Quadratic twists by: -3 13 |