Atkin-Lehner |
3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449g |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
111888 |
Modular degree for the optimal curve |
Δ |
-2204154367947 = -1 · 33 · 710 · 172 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-71430] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.75407691494481 |
L(r)(E,1)/r! |
Ω |
0.37703806045536 |
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 |
127449g2 127449b1 127449n1 |
Quadratic twists by: -3 -7 17 |