Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800cn |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-192786750000 = -1 · 24 · 33 · 56 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4200,106875] |
[a1,a2,a3,a4,a6] |
Generators |
[81:546:1] |
Generators of the group modulo torsion |
j |
-1213857792/28561 |
j-invariant |
L |
7.6034401077985 |
L(r)(E,1)/r! |
Ω |
1.0061241727705 |
Real period |
R |
1.889289690478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11700f1 46800co1 1872l1 |
Quadratic twists by: -4 -3 5 |