Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288p |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-31512630525712128 = -1 · 28 · 38 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38588,9012576] |
[a1,a2,a3,a4,a6] |
Generators |
[199:3042:1] |
Generators of the group modulo torsion |
j |
-5142706000/25502607 |
j-invariant |
L |
8.4556607580249 |
L(r)(E,1)/r! |
Ω |
0.3213279759581 |
Real period |
R |
1.6446709777354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176p2 |
Quadratic twists by: 13 |