Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300v |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
43394531250000 = 24 · 3 · 512 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91533,-10684812] |
[a1,a2,a3,a4,a6] |
Generators |
[557:10557:1] |
Generators of the group modulo torsion |
j |
339251313639424/173578125 |
j-invariant |
L |
7.519656355691 |
L(r)(E,1)/r! |
Ω |
0.27448465597331 |
Real period |
R |
4.5659239305715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9660a1 |
Quadratic twists by: 5 |