Atkin-Lehner |
2+ 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050f |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
6434279013036851200 = 220 · 52 · 73 · 172 · 195 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -5 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-607867,-135425179] |
[a1,a2,a3,a4,a6] |
j |
993595935396676640625/257371160521474048 |
j-invariant |
L |
3.4851844446705 |
L(r)(E,1)/r! |
Ω |
0.17425918828055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050db1 |
Quadratic twists by: 5 |