Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478ct |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
18108524147472 = 24 · 37 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6566,5285] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:67:1] |
Generators of the group modulo torsion |
j |
912673/528 |
j-invariant |
L |
7.3060260575816 |
L(r)(E,1)/r! |
Ω |
0.58395586794458 |
Real period |
R |
3.1278160125626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826r1 198a1 |
Quadratic twists by: -3 -19 |