Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162s |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-127994926964736 = -1 · 213 · 3 · 137 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6165,-510927] |
[a1,a2,a3,a4,a6] |
Generators |
[638:15905:1] |
Generators of the group modulo torsion |
j |
5368567751/26517504 |
j-invariant |
L |
13.276144180512 |
L(r)(E,1)/r! |
Ω |
0.29500489200891 |
Real period |
R |
1.7308897030723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474g1 |
Quadratic twists by: 13 |