Atkin-Lehner |
5+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675m |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112128 |
Modular degree for the optimal curve |
Δ |
3563828125 = 57 · 112 · 13 · 29 |
Discriminant |
Eigenvalues |
2 1 5+ 5 11+ 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,1219] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:271:8] |
Generators of the group modulo torsion |
j |
481890304/228085 |
j-invariant |
L |
20.210679417277 |
L(r)(E,1)/r! |
Ω |
1.2533902891478 |
Real period |
R |
2.0156011666551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735c1 |
Quadratic twists by: 5 |