Atkin-Lehner |
2+ 3- 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646p |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
9245509642512 = 24 · 37 · 11 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-176373,28553701] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:1184:1] [-106:6839:1] |
Generators of the group modulo torsion |
j |
832326793133773393/12682454928 |
j-invariant |
L |
6.4038203853696 |
L(r)(E,1)/r! |
Ω |
0.66737894357353 |
Real period |
R |
0.59971741384078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882bc1 |
Quadratic twists by: -3 |