Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640q |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-9.788873160125E+21 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -4 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7880160,9752029400] |
[a1,a2,a3,a4,a6] |
Generators |
[58710:1454750:27] [1495:36260:1] |
Generators of the group modulo torsion |
j |
-1349696820488/244140625 |
j-invariant |
L |
12.071375909641 |
L(r)(E,1)/r! |
Ω |
0.12410641390082 |
Real period |
R |
1.3509213059581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640f1 84640k1 |
Quadratic twists by: -4 -23 |