Atkin-Lehner |
2- 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320cj |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-15291320893440 = -1 · 222 · 3 · 5 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1304,187700] |
[a1,a2,a3,a4,a6] |
j |
59822347031/3733232640 |
j-invariant |
L |
2.1324653840739 |
L(r)(E,1)/r! |
Ω |
0.53311633803185 |
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 |
14790b1 |
Quadratic twists by: -4 |