Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cl |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
158186078208000 = 224 · 32 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18616,761684] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:1278:1] |
Generators of the group modulo torsion |
j |
174199219125049/38619648000 |
j-invariant |
L |
8.8108823643162 |
L(r)(E,1)/r! |
Ω |
0.54312633227437 |
Real period |
R |
4.0556321187823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790d1 |
Quadratic twists by: -4 |