Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610cj |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-157815657680850000 = -1 · 24 · 37 · 55 · 137 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-615586,186829460] |
[a1,a2,a3,a4,a6] |
Generators |
[326:4400:1] |
Generators of the group modulo torsion |
j |
-5344780143505321/32695650000 |
j-invariant |
L |
14.0525245275 |
L(r)(E,1)/r! |
Ω |
0.32564375580645 |
Real period |
R |
0.38529517604406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8970f1 |
Quadratic twists by: 13 |