Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bo |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
5065336771923935232 = 222 · 33 · 115 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2845496,1845037755] |
[a1,a2,a3,a4,a6] |
Generators |
[909:2537:1] |
Generators of the group modulo torsion |
j |
94369953969253988095491/187605065626812416 |
j-invariant |
L |
10.18908841566 |
L(r)(E,1)/r! |
Ω |
0.24288164100338 |
Real period |
R |
0.19068562791292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346f1 |
Quadratic twists by: -3 |