Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176ce |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-569864201306112 = -1 · 217 · 316 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -6 -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14100,-950704] |
[a1,a2,a3,a4,a6] |
j |
3244468750/5963949 |
j-invariant |
L |
2.1678288193481 |
L(r)(E,1)/r! |
Ω |
0.27097860218928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176w1 14544a1 19392w1 |
Quadratic twists by: -4 8 -3 |