Atkin-Lehner |
3+ 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975g |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
6741140625 = 33 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 6 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-755,7122] |
[a1,a2,a3,a4,a6] |
j |
112678587/15979 |
j-invariant |
L |
2.5592963902239 |
L(r)(E,1)/r! |
Ω |
1.2796485545733 |
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 |
123975h1 4959a1 |
Quadratic twists by: -3 5 |