Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240ce |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-2442150000 = -1 · 24 · 36 · 55 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10857,435431] |
[a1,a2,a3,a4,a6] |
Generators |
[62:25:1] |
Generators of the group modulo torsion |
j |
-12134048168704/209375 |
j-invariant |
L |
4.5127895931584 |
L(r)(E,1)/r! |
Ω |
1.3305827514486 |
Real period |
R |
0.67831776538951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12060c1 5360k1 |
Quadratic twists by: -4 -3 |