Atkin-Lehner |
7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78337c |
Isogeny class |
Conductor |
78337 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-465722371838563 = -1 · 75 · 197 · 31 |
Discriminant |
Eigenvalues |
2 2 -2 7- 0 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30444,-2282981] |
[a1,a2,a3,a4,a6] |
j |
-66331758592/9899323 |
j-invariant |
L |
7.1694646009161 |
L(r)(E,1)/r! |
Ω |
0.17923661658421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123b1 |
Quadratic twists by: -19 |