Atkin-Lehner |
2+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39886h |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51618028154 = 2 · 78 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2339971,1376754555] |
[a1,a2,a3,a4,a6] |
Generators |
[23871:-13822:27] |
Generators of the group modulo torsion |
j |
12043901286658182313/438746 |
j-invariant |
L |
4.7185464803816 |
L(r)(E,1)/r! |
Ω |
0.60115335249007 |
Real period |
R |
0.98114450764408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698a2 |
Quadratic twists by: -7 |