Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bs |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2360014735933440 = -1 · 230 · 38 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72723,-7901998] |
[a1,a2,a3,a4,a6] |
j |
-14244643829521/790364160 |
j-invariant |
L |
2.318323519297 |
L(r)(E,1)/r! |
Ω |
0.14489521994028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030g1 16080t1 |
Quadratic twists by: -4 -3 |