Atkin-Lehner |
2- 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912z |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-859238793216 = -1 · 215 · 35 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 4 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672,-45324] |
[a1,a2,a3,a4,a6] |
Generators |
[42:48:1] [60:366:1] |
Generators of the group modulo torsion |
j |
-8205738913/209775096 |
j-invariant |
L |
10.340274961042 |
L(r)(E,1)/r! |
Ω |
0.38545084950521 |
Real period |
R |
0.67066105667702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614l1 |
Quadratic twists by: -4 |