Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960bd |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-17386027614208000 = -1 · 239 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 11- 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9748,6333104] |
[a1,a2,a3,a4,a6] |
j |
390778221231/66322432000 |
j-invariant |
L |
3.6019650419676 |
L(r)(E,1)/r! |
Ω |
0.30016375575471 |
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 |
80960bw1 2530e1 |
Quadratic twists by: -4 8 |