Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bw |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-49927705344 = -1 · 28 · 37 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,13516] |
[a1,a2,a3,a4,a6] |
Generators |
[38:198:1] |
Generators of the group modulo torsion |
j |
-268435456/267531 |
j-invariant |
L |
5.1677474788707 |
L(r)(E,1)/r! |
Ω |
1.0266744995345 |
Real period |
R |
0.20972841184165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999699951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26532d1 35376w1 |
Quadratic twists by: -4 -3 |