Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dw |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2496282624 = 214 · 36 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2556,-49680] |
[a1,a2,a3,a4,a6] |
Generators |
[642:4095:8] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
6.6921254698014 |
L(r)(E,1)/r! |
Ω |
0.67149780165509 |
Real period |
R |
4.9829839300685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999407573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384u1 30096c1 13376n1 |
Quadratic twists by: -4 8 -3 |