Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
56760v |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2045952 |
Modular degree for the optimal curve |
Δ |
-4.7023388105941E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7792676,8376841824] |
[a1,a2,a3,a4,a6] |
Generators |
[1150:30618:1] |
Generators of the group modulo torsion |
j |
-204429544870366251494224/183685109788830375 |
j-invariant |
L |
7.6637572439559 |
L(r)(E,1)/r! |
Ω |
0.200222572738 |
Real period |
R |
0.79742062578229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520a1 |
Quadratic twists by: -4 |