Atkin-Lehner |
2+ 3- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990u |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
20572380 = 22 · 36 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-860] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
887503681/28220 |
j-invariant |
L |
4.3715667711023 |
L(r)(E,1)/r! |
Ω |
1.3056120419275 |
Real period |
R |
0.83707232199387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999013276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110l1 |
Quadratic twists by: -3 |