Atkin-Lehner |
2- 3+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144k |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-667041458061312 = -1 · 215 · 35 · 175 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 2 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62152,-6071312] |
[a1,a2,a3,a4,a6] |
j |
-6482403749185993/162851918472 |
j-invariant |
L |
3.019192045746 |
L(r)(E,1)/r! |
Ω |
0.15095960228951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018e1 |
Quadratic twists by: -4 |