Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bu |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
8729314870689792 = 234 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100395,11388762] |
[a1,a2,a3,a4,a6] |
Generators |
[519:9954:1] |
Generators of the group modulo torsion |
j |
37477661819625/2923429888 |
j-invariant |
L |
7.2676973773022 |
L(r)(E,1)/r! |
Ω |
0.40313389725227 |
Real period |
R |
4.5069996594738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12546m1 11152k1 |
Quadratic twists by: -4 -3 |