Atkin-Lehner |
2+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
108664a |
Isogeny class |
Conductor |
108664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-83932313530112 = -1 · 28 · 178 · 47 |
Discriminant |
Eigenvalues |
2+ 0 4 -4 -6 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2023,442170] |
[a1,a2,a3,a4,a6] |
Generators |
[166855:1872720:2197] |
Generators of the group modulo torsion |
j |
-148176/13583 |
j-invariant |
L |
6.5453213215516 |
L(r)(E,1)/r! |
Ω |
0.49941226691588 |
Real period |
R |
6.5530241387367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6392a1 |
Quadratic twists by: 17 |