Atkin-Lehner |
2- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9328n |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-126562304 = -1 · 212 · 11 · 532 |
Discriminant |
Eigenvalues |
2- -1 3 0 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91,397] |
[a1,a2,a3,a4,a6] |
j |
20123648/30899 |
j-invariant |
L |
2.523697304496 |
L(r)(E,1)/r! |
Ω |
1.261848652248 |
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 |
583a1 37312t1 83952l1 102608ba1 |
Quadratic twists by: -4 8 -3 -11 |