Atkin-Lehner |
2- 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80388c |
Isogeny class |
Conductor |
80388 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-4584045312 = -1 · 28 · 36 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-3260] |
[a1,a2,a3,a4,a6] |
j |
-65536/24563 |
j-invariant |
L |
3.6999535807276 |
L(r)(E,1)/r! |
Ω |
0.61665894365869 |
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 |
8932b1 |
Quadratic twists by: -3 |