Atkin-Lehner |
2+ 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256bd |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
7661214288 = 24 · 32 · 72 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2007,-35028] |
[a1,a2,a3,a4,a6] |
j |
55906488997888/478825893 |
j-invariant |
L |
2.8544936026619 |
L(r)(E,1)/r! |
Ω |
0.71362339338423 |
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 |
37128f1 |
Quadratic twists by: -4 |