Atkin-Lehner |
2- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
111296n |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
3 |
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 |
4.6640046016492 |
L(r)(E,1)/r! |
Ω |
1.5546681545314 |
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 |
111296d1 27824b1 |
Quadratic twists by: -4 8 |