Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9328k |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-7910144 = -1 · 28 · 11 · 532 |
Discriminant |
Eigenvalues |
2- -3 -1 2 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,-116] |
[a1,a2,a3,a4,a6] |
Generators |
[22:106:1] |
Generators of the group modulo torsion |
j |
14155776/30899 |
j-invariant |
L |
2.7045400940383 |
L(r)(E,1)/r! |
Ω |
1.2137699821344 |
Real period |
R |
0.55705367035078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332b1 37312bd1 83952n1 102608bc1 |
Quadratic twists by: -4 8 -3 -11 |