Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443i |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2720256 |
Modular degree for the optimal curve |
Δ |
-1.3022275510989E+21 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- 11- 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2632413,559632162] |
[a1,a2,a3,a4,a6] |
Generators |
[730:-53947:1] |
Generators of the group modulo torsion |
j |
9411184794706607/6074987633001 |
j-invariant |
L |
2.8544603627944 |
L(r)(E,1)/r! |
Ω |
0.095329079178494 |
Real period |
R |
1.8714517565434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443b1 |
Quadratic twists by: -11 |