Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9306m |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-9891179892 = -1 · 22 · 314 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11- 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,535,-547] |
[a1,a2,a3,a4,a6] |
j |
23271176375/13568148 |
j-invariant |
L |
3.0469138184997 |
L(r)(E,1)/r! |
Ω |
0.76172845462493 |
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 |
74448z1 3102d1 102366i1 |
Quadratic twists by: -4 -3 -11 |