Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
55776p |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-4481785437696 = -1 · 29 · 37 · 7 · 833 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 6 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8240,-308148] |
[a1,a2,a3,a4,a6] |
j |
-120861530858888/8753487183 |
j-invariant |
L |
5.2395793158334 |
L(r)(E,1)/r! |
Ω |
0.24950377696372 |
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 |
55776n1 111552ca1 |
Quadratic twists by: -4 8 |