Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900bc |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-8232574218750000 = -1 · 24 · 36 · 512 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,4365188] |
[a1,a2,a3,a4,a6] |
Generators |
[68:2100:1] |
Generators of the group modulo torsion |
j |
-29025255424/32930296875 |
j-invariant |
L |
8.3511480944243 |
L(r)(E,1)/r! |
Ω |
0.33413543810697 |
Real period |
R |
2.0827751882321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780c1 |
Quadratic twists by: 5 |