Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ew |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5995714169143296 = -1 · 217 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 5 -2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99372,-12619568] |
[a1,a2,a3,a4,a6] |
Generators |
[53466:12362576:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
9.6321870213801 |
L(r)(E,1)/r! |
Ω |
0.13401757193913 |
Real period |
R |
8.9840709751414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bg1 24336e1 10816bc1 7488ca1 |
Quadratic twists by: -4 8 -3 13 |