Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800dr |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
124590080000 = 214 · 54 · 233 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4433,110863] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:40:1] [-27:460:1] |
Generators of the group modulo torsion |
j |
941054800/12167 |
j-invariant |
L |
6.4339536734779 |
L(r)(E,1)/r! |
Ω |
1.0480635116435 |
Real period |
R |
0.17052490940567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800bi2 9200bi2 36800ce2 |
Quadratic twists by: -4 8 5 |