Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984bt |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-40881881088 = -1 · 222 · 33 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 2 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,-9766] |
[a1,a2,a3,a4,a6] |
Generators |
[85:768:1] |
Generators of the group modulo torsion |
j |
-13851/1024 |
j-invariant |
L |
3.7635465346798 |
L(r)(E,1)/r! |
Ω |
0.50540674707183 |
Real period |
R |
0.93082120403086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6498q1 51984br1 51984bk1 |
Quadratic twists by: -4 -3 -19 |