Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650g |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-8192135168000000000 = -1 · 221 · 59 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,488749,40868398] |
[a1,a2,a3,a4,a6] |
j |
7023836099951/4456448000 |
j-invariant |
L |
1.159246443136 |
L(r)(E,1)/r! |
Ω |
0.14490580538871 |
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 |
8330y1 850a1 |
Quadratic twists by: 5 -7 |