Atkin-Lehner |
2- 3+ 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650bn |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
62126352000000 = 210 · 35 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10138,-106969] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:147:1] |
Generators of the group modulo torsion |
j |
7375020369625/3976086528 |
j-invariant |
L |
9.1457933661856 |
L(r)(E,1)/r! |
Ω |
0.50670404019729 |
Real period |
R |
1.8049576565673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3306d1 |
Quadratic twists by: 5 |