Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632a |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
83755008 = 217 · 32 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109057,13898497] |
[a1,a2,a3,a4,a6] |
Generators |
[308121:1334060:1331] |
Generators of the group modulo torsion |
j |
1094405855968514/639 |
j-invariant |
L |
4.9418857506391 |
L(r)(E,1)/r! |
Ω |
1.1778193525593 |
Real period |
R |
8.3915852459051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13632r3 1704d4 40896x4 |
Quadratic twists by: -4 8 -3 |