Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49296be |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-714570888904704 = -1 · 233 · 34 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 3 3 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-716136,233025588] |
[a1,a2,a3,a4,a6] |
j |
-9916328130235181929/174455783424 |
j-invariant |
L |
3.7311212709198 |
L(r)(E,1)/r! |
Ω |
0.46639015889805 |
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 |
6162e1 |
Quadratic twists by: -4 |