Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975bm |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1618176 |
Modular degree for the optimal curve |
Δ |
1986583123395169875 = 36 · 53 · 197 · 293 |
Discriminant |
Eigenvalues |
1 3- 5- -1 1 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-380022,-59335939] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:2853:1] |
Generators of the group modulo torsion |
j |
66605950671034293/21800637842471 |
j-invariant |
L |
6.1134535525748 |
L(r)(E,1)/r! |
Ω |
0.19730832008946 |
Real period |
R |
0.73772063342199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999342274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775j1 123975bo1 |
Quadratic twists by: -3 5 |