Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576k |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-4080720384 = -1 · 29 · 36 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 0 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,4066] |
[a1,a2,a3,a4,a6] |
Generators |
[18:58:1] |
Generators of the group modulo torsion |
j |
-14172488/10933 |
j-invariant |
L |
3.9013213467481 |
L(r)(E,1)/r! |
Ω |
1.275762469933 |
Real period |
R |
1.5290155632834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576bk1 12064c1 |
Quadratic twists by: -4 -3 |