Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930bc |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-231528130396000 = -1 · 25 · 53 · 17 · 237 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18526,-1217244] |
[a1,a2,a3,a4,a6] |
j |
-4750104241/1564000 |
j-invariant |
L |
4.0248615940556 |
L(r)(E,1)/r! |
Ω |
0.20124308144149 |
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 |
3910o1 |
Quadratic twists by: -23 |