Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232dh |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
588791808 = 214 · 33 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-337,1967] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:48:1] |
Generators of the group modulo torsion |
j |
194672/27 |
j-invariant |
L |
7.8618471158802 |
L(r)(E,1)/r! |
Ω |
1.5691370798813 |
Real period |
R |
0.83504995799718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232d1 5808a1 69696ff1 23232di1 |
Quadratic twists by: -4 8 -3 -11 |