Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928u |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-24568295320301824 = -1 · 28 · 76 · 138 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393263,-95222374] |
[a1,a2,a3,a4,a6] |
Generators |
[33074:2100539:8] |
Generators of the group modulo torsion |
j |
-32209663824/117649 |
j-invariant |
L |
4.6750175654168 |
L(r)(E,1)/r! |
Ω |
0.095302397915145 |
Real period |
R |
8.1757606448674 |
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 |
4732a1 75712ck1 18928i1 |
Quadratic twists by: -4 8 13 |