Atkin-Lehner |
3+ 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805h |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-137305206675 = -1 · 33 · 52 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 5 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1278,-2933] |
[a1,a2,a3,a4,a6] |
j |
8549732155392/5085378025 |
j-invariant |
L |
2.4219914442343 |
L(r)(E,1)/r! |
Ω |
0.60549787008634 |
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 |
77805c1 |
Quadratic twists by: -3 |