Atkin-Lehner |
2- 5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bg |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-3586413359375000 = -1 · 23 · 510 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1050588,414045781] |
[a1,a2,a3,a4,a6] |
j |
-8207313441539837689/229530455000 |
j-invariant |
L |
2.4766721282246 |
L(r)(E,1)/r! |
Ω |
0.41277870018224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17710a1 |
Quadratic twists by: 5 |