Atkin-Lehner |
3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443b |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-735073503593121 = -1 · 314 · 74 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3+ -3 7+ 11- -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21756,-410571] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-2253:1] [196:3283:1] |
Generators of the group modulo torsion |
j |
9411184794706607/6074987633001 |
j-invariant |
L |
7.6109229491417 |
L(r)(E,1)/r! |
Ω |
0.28985620191645 |
Real period |
R |
3.2821977323687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443i1 |
Quadratic twists by: -11 |