Atkin-Lehner |
2- 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298bd |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-72233618184 = -1 · 23 · 39 · 7 · 13 · 712 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1346,-22647] |
[a1,a2,a3,a4,a6] |
j |
-369682454233/99085896 |
j-invariant |
L |
4.6642533133372 |
L(r)(E,1)/r! |
Ω |
0.3886878098095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766g1 |
Quadratic twists by: -3 |