Atkin-Lehner |
2+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111296d |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
160320 |
Modular degree for the optimal curve |
Δ |
-245852864 = -1 · 26 · 37 · 473 |
Discriminant |
Eigenvalues |
2+ -3 -1 -4 2 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7588,-254414] |
[a1,a2,a3,a4,a6] |
j |
-754963064303616/3841451 |
j-invariant |
L |
0.25576338944839 |
L(r)(E,1)/r! |
Ω |
0.25576292843152 |
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 |
111296n1 1739a1 |
Quadratic twists by: -4 8 |