Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248a |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-191972707397977088 = -1 · 210 · 119 · 433 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,122896,-13056272] |
[a1,a2,a3,a4,a6] |
Generators |
[1382:52862:1] |
Generators of the group modulo torsion |
j |
85015732/79507 |
j-invariant |
L |
4.6473920111316 |
L(r)(E,1)/r! |
Ω |
0.17430734716937 |
Real period |
R |
6.6655136582668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41624h1 83248e1 |
Quadratic twists by: -4 -11 |