Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116064k |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-22732062912 = -1 · 26 · 37 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1173,17080] |
[a1,a2,a3,a4,a6] |
j |
-3825694144/487227 |
j-invariant |
L |
4.6701599167994 |
L(r)(E,1)/r! |
Ω |
1.1675398158212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116064g1 38688f1 |
Quadratic twists by: -4 -3 |