Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946j |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
6514576165060608 = 214 · 3 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86851,-9061186] |
[a1,a2,a3,a4,a6] |
Generators |
[284804021112:14166414214597:111284641] |
Generators of the group modulo torsion |
j |
3001563015625/269893632 |
j-invariant |
L |
4.8750596574044 |
L(r)(E,1)/r! |
Ω |
0.27970199869966 |
Real period |
R |
17.429477372592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98838bk1 1938c1 |
Quadratic twists by: -3 17 |