Atkin-Lehner |
5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4495a |
Isogeny class |
Conductor |
4495 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21360 |
Modular degree for the optimal curve |
Δ |
-9935087796875 = -1 · 56 · 295 · 31 |
Discriminant |
Eigenvalues |
0 -1 5+ -5 1 4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-149081,22205787] |
[a1,a2,a3,a4,a6] |
Generators |
[221:62:1] |
Generators of the group modulo torsion |
j |
-366432104613080203264/9935087796875 |
j-invariant |
L |
1.7252072967161 |
L(r)(E,1)/r! |
Ω |
0.67374082044095 |
Real period |
R |
1.2803197048288 |
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 |
71920k1 40455o1 22475a1 |
Quadratic twists by: -4 -3 5 |