Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490ct |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
6666240 |
Modular degree for the optimal curve |
Δ |
-3.6139658540867E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6931993,-5859078361] |
[a1,a2,a3,a4,a6] |
Generators |
[8409:800152:1] |
Generators of the group modulo torsion |
j |
1911240521/1875000 |
j-invariant |
L |
13.172186549486 |
L(r)(E,1)/r! |
Ω |
0.063096847210768 |
Real period |
R |
2.4852548358445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830p1 86490cr1 |
Quadratic twists by: -3 -31 |