Atkin-Lehner |
5+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97405a |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12317184 |
Modular degree for the optimal curve |
Δ |
-1.0321461115756E+24 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10561041,50629823976] |
[a1,a2,a3,a4,a6] |
j |
-5022466950037504/39793700702875 |
j-invariant |
L |
0.6007749825527 |
L(r)(E,1)/r! |
Ω |
0.075096874275914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97405b1 |
Quadratic twists by: -11 |