Atkin-Lehner |
3- 5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485x |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
13162566827025 = 311 · 52 · 7 · 114 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7434,176215] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1711:8] |
Generators of the group modulo torsion |
j |
62329940876449/18055647225 |
j-invariant |
L |
7.8515813197981 |
L(r)(E,1)/r! |
Ω |
0.65866058760764 |
Real period |
R |
1.4900658760941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495a1 |
Quadratic twists by: -3 |