Atkin-Lehner |
2- 3- 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170r |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
924 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
55415953304524800 = 211 · 314 · 52 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112981,9230561] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-1783:1] |
Generators of the group modulo torsion |
j |
159492474279910453969/55415953304524800 |
j-invariant |
L |
10.175434211603 |
L(r)(E,1)/r! |
Ω |
0.32464523385761 |
Real period |
R |
0.0339212578513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510s1 |
Quadratic twists by: -3 |