Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cl |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-397978514057134080 = -1 · 216 · 36 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100778,-32729623] |
[a1,a2,a3,a4,a6] |
j |
-26934258841/94699520 |
j-invariant |
L |
3.9353816352224 |
L(r)(E,1)/r! |
Ω |
0.12298067696337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330h1 74970dl1 |
Quadratic twists by: -3 -7 |