Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870m |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
-66517271634520 = -1 · 23 · 5 · 711 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11323,610307] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1634:1] |
Generators of the group modulo torsion |
j |
-190886968047609/79093069720 |
j-invariant |
L |
9.9587399787307 |
L(r)(E,1)/r! |
Ω |
0.58028360080889 |
Real period |
R |
0.52005605352444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870e1 |
Quadratic twists by: 29 |