Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dk |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-481738752 = -1 · 214 · 35 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293,-2301] |
[a1,a2,a3,a4,a6] |
j |
-1408000/243 |
j-invariant |
L |
2.8571012413872 |
L(r)(E,1)/r! |
Ω |
0.57142024827743 |
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 |
23232e1 5808d1 69696fl1 23232dj1 |
Quadratic twists by: -4 8 -3 -11 |