Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680bf |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
290 |
Product of Tamagawa factors cp |
deg |
1197120 |
Modular degree for the optimal curve |
Δ |
-4.5021527551363E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2250080,3479096328] |
[a1,a2,a3,a4,a6] |
Generators |
[14686:-1771470:1] |
Generators of the group modulo torsion |
j |
-2460638542909233980168/8793267099875634375 |
j-invariant |
L |
5.7689332231581 |
L(r)(E,1)/r! |
Ω |
0.12057094741507 |
Real period |
R |
0.16498894310602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19680v1 39360bv1 59040j1 98400k1 |
Quadratic twists by: -4 8 -3 5 |