Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840l |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-130355200000 = -1 · 215 · 55 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -6 3 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,397,-17102] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1904:1] |
Generators of the group modulo torsion |
j |
1689410871/31825000 |
j-invariant |
L |
6.5351423039167 |
L(r)(E,1)/r! |
Ω |
0.50645602915224 |
Real period |
R |
3.2259179234506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999638711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730a1 |
Quadratic twists by: -4 |