Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23364a |
Isogeny class |
Conductor |
23364 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-363356928 = -1 · 28 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,916] |
[a1,a2,a3,a4,a6] |
j |
8192/1947 |
j-invariant |
L |
2.6287989079774 |
L(r)(E,1)/r! |
Ω |
1.3143994539887 |
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 |
93456bu1 7788a1 |
Quadratic twists by: -4 -3 |