Atkin-Lehner |
3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78033a |
Isogeny class |
Conductor |
78033 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207936 |
Modular degree for the optimal curve |
Δ |
-438739215939 = -1 · 32 · 19 · 376 |
Discriminant |
Eigenvalues |
2 3+ 3 -5 1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3194,77513] |
[a1,a2,a3,a4,a6] |
j |
-1404928/171 |
j-invariant |
L |
3.6532772801403 |
L(r)(E,1)/r! |
Ω |
0.91331931728397 |
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 |
57a1 |
Quadratic twists by: 37 |