Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624p |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-84623537541224448 = -1 · 211 · 33 · 137 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,102696,5986800] |
[a1,a2,a3,a4,a6] |
j |
12116857534/8560539 |
j-invariant |
L |
2.5947073852952 |
L(r)(E,1)/r! |
Ω |
0.21622561828182 |
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 |
9048l1 |
Quadratic twists by: 13 |