Atkin-Lehner |
2+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112f |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14364686336 = 211 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11+ 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-632,-1840] |
[a1,a2,a3,a4,a6] |
j |
39805022/20449 |
j-invariant |
L |
4.0248787347201 |
L(r)(E,1)/r! |
Ω |
1.0062197548578 |
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 |
56056h2 112112j2 |
Quadratic twists by: -4 -7 |