Atkin-Lehner |
2- 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824r |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
12282420068352 = 216 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7848,-205200] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:198:1] |
Generators of the group modulo torsion |
j |
13052571603625/2998637712 |
j-invariant |
L |
3.8086798681667 |
L(r)(E,1)/r! |
Ω |
0.51561090285927 |
Real period |
R |
3.6933663030068 |
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 |
2478b1 79296bv1 59472y1 |
Quadratic twists by: -4 8 -3 |