Atkin-Lehner |
2- 3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550ca |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
5505024 |
Modular degree for the optimal curve |
Δ |
4.8474994035917E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4308288,-3275255808] |
[a1,a2,a3,a4,a6] |
Generators |
[-1008:7104:1] |
Generators of the group modulo torsion |
j |
566001880654007645497/31023996182986752 |
j-invariant |
L |
12.936774028129 |
L(r)(E,1)/r! |
Ω |
0.10514871551265 |
Real period |
R |
0.64079747581135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422c1 |
Quadratic twists by: 5 |