Atkin-Lehner |
3- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108489l |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
526176 |
Modular degree for the optimal curve |
Δ |
16842796477983909 = 33 · 299 · 43 |
Discriminant |
Eigenvalues |
0 3- -3 0 -3 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65037,1307747] |
[a1,a2,a3,a4,a6] |
Generators |
[1121:36583:1] |
Generators of the group modulo torsion |
j |
2097152/1161 |
j-invariant |
L |
4.1837050961458 |
L(r)(E,1)/r! |
Ω |
0.33855887040447 |
Real period |
R |
2.0595655485952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999574722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108489d1 |
Quadratic twists by: 29 |