Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650cv |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
296 |
Product of Tamagawa factors cp |
deg |
909312 |
Modular degree for the optimal curve |
Δ |
-3864422594379776000 = -1 · 237 · 53 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11+ 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59848,-94772919] |
[a1,a2,a3,a4,a6] |
Generators |
[2789:-147827:1] |
Generators of the group modulo torsion |
j |
-142490208642391/23227183136768 |
j-invariant |
L |
6.4246794737403 |
L(r)(E,1)/r! |
Ω |
0.1104146764266 |
Real period |
R |
0.19657711201755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650y1 78650ba1 |
Quadratic twists by: 5 -11 |