Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590n |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-29930585560000 = -1 · 26 · 54 · 176 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19080,-1049600] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/1240000 |
j-invariant |
L |
2.4317277775612 |
L(r)(E,1)/r! |
Ω |
0.20264398081669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310a1 |
Quadratic twists by: 17 |