Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bd |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-193254731766000 = -1 · 24 · 37 · 53 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44086,3621368] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-661:1] |
Generators of the group modulo torsion |
j |
-75805658917022861/1546037854128 |
j-invariant |
L |
5.3527170887381 |
L(r)(E,1)/r! |
Ω |
0.56644281071456 |
Real period |
R |
0.1687447204232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650br1 |
Quadratic twists by: 5 |