Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856b |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10812672 = 28 · 32 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 2 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25028,-1515696] |
[a1,a2,a3,a4,a6] |
j |
6772976019826000/42237 |
j-invariant |
L |
0.7591394622883 |
L(r)(E,1)/r! |
Ω |
0.37956973114415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5928e2 47424dk2 35568k2 |
Quadratic twists by: -4 8 -3 |