Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38688b |
Isogeny class |
Conductor |
38688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55322601984 = -1 · 29 · 32 · 13 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,928,-2820] |
[a1,a2,a3,a4,a6] |
Generators |
[2474:43785:8] |
Generators of the group modulo torsion |
j |
172436661496/108051957 |
j-invariant |
L |
8.5165451161097 |
L(r)(E,1)/r! |
Ω |
0.64341299119461 |
Real period |
R |
6.6182570391505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38688c2 77376l3 116064n2 |
Quadratic twists by: -4 8 -3 |