Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464bb |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-477545761728 = -1 · 26 · 37 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15,33248] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:144:1] [-4:182:1] |
Generators of the group modulo torsion |
j |
8000/10235463 |
j-invariant |
L |
10.003082905214 |
L(r)(E,1)/r! |
Ω |
0.74071610085585 |
Real period |
R |
2.2507685228894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464v1 116928en2 19488a1 |
Quadratic twists by: -4 8 -3 |