Atkin-Lehner |
2- 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170u |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
-16821561537331200 = -1 · 232 · 32 · 52 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,59750,2713700] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:530:1] |
Generators of the group modulo torsion |
j |
23590491355736603999/16821561537331200 |
j-invariant |
L |
11.479208208415 |
L(r)(E,1)/r! |
Ω |
0.24772514249047 |
Real period |
R |
2.8961554156883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120510f1 |
Quadratic twists by: -3 |