Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480cy |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
3108710029642956800 = 220 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-373388,22717712] |
[a1,a2,a3,a4,a6] |
j |
185193/100 |
j-invariant |
L |
3.5293604642101 |
L(r)(E,1)/r! |
Ω |
0.22058502569453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92480c1 23120bb1 92480du1 |
Quadratic twists by: -4 8 17 |