Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824x |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
46039891968 = 216 · 35 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4928,131124] |
[a1,a2,a3,a4,a6] |
Generators |
[10:288:1] |
Generators of the group modulo torsion |
j |
3231945186625/11240208 |
j-invariant |
L |
6.4310023934232 |
L(r)(E,1)/r! |
Ω |
1.1398559500882 |
Real period |
R |
0.56419430831811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2478d1 79296bk1 59472bi1 |
Quadratic twists by: -4 8 -3 |