Atkin-Lehner |
2- 3- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11868c |
Isogeny class |
Conductor |
11868 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-83173222656 = -1 · 28 · 33 · 234 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1380,-24588] |
[a1,a2,a3,a4,a6] |
j |
-1136150003536/324895401 |
j-invariant |
L |
2.315490280439 |
L(r)(E,1)/r! |
Ω |
0.38591504673983 |
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 |
47472c1 35604j1 |
Quadratic twists by: -4 -3 |