Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480ek |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-9143264793067520 = -1 · 218 · 5 · 178 |
Discriminant |
Eigenvalues |
2- -1 5- 5 2 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45855,-2638463] |
[a1,a2,a3,a4,a6] |
j |
5831/5 |
j-invariant |
L |
3.6228697198805 |
L(r)(E,1)/r! |
Ω |
0.22642934868422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480cj1 23120w1 92480dc1 |
Quadratic twists by: -4 8 17 |