Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768cl |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
-9169941612699058176 = -1 · 226 · 32 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 5 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9781857,11779682049] |
[a1,a2,a3,a4,a6] |
j |
-394864202575558290457/34980551195904 |
j-invariant |
L |
1.7651039864232 |
L(r)(E,1)/r! |
Ω |
0.22063786745467 |
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 |
120768bf1 30192bf1 |
Quadratic twists by: -4 8 |