Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cw |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-31608503156736 = -1 · 214 · 32 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11- 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1775,268369] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-968:1] |
Generators of the group modulo torsion |
j |
176/9 |
j-invariant |
L |
4.3184780998068 |
L(r)(E,1)/r! |
Ω |
0.50035532342245 |
Real period |
R |
0.35961761386123 |
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 |
23232br1 5808bb1 69696gc1 23232cv1 |
Quadratic twists by: -4 8 -3 -11 |