Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775g |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-30432675 = -1 · 3 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-163,-792] |
[a1,a2,a3,a4,a6] |
j |
-8028160/507 |
j-invariant |
L |
1.3305994171471 |
L(r)(E,1)/r! |
Ω |
0.66529970857421 |
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 |
47775cx1 47775cd1 |
Quadratic twists by: 5 -7 |