Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
1.5044717719041E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1436338,-301357708] |
[a1,a2,a3,a4,a6] |
j |
178272935636041/81841914000 |
j-invariant |
L |
6.9153718741414 |
L(r)(E,1)/r! |
Ω |
0.14407024760066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170e1 11550bl1 |
Quadratic twists by: 5 -7 |