Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816a |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3503536769037500416 = -1 · 232 · 138 |
Discriminant |
Eigenvalues |
2+ 0 1 4 -4 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4209452,-3325414352] |
[a1,a2,a3,a4,a6] |
Generators |
[281166314:7440715776:103823] |
Generators of the group modulo torsion |
j |
-38575685889/16384 |
j-invariant |
L |
5.0855238586559 |
L(r)(E,1)/r! |
Ω |
0.052698967239118 |
Real period |
R |
8.0417829246075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816y2 338b2 97344bn2 10816b2 |
Quadratic twists by: -4 8 -3 13 |