Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640s |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-1.4898491006456E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 4 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1476971,-715901520] |
[a1,a2,a3,a4,a6] |
Generators |
[11867248:299836200:6859] |
Generators of the group modulo torsion |
j |
-3632318464/151875 |
j-invariant |
L |
7.6498775892815 |
L(r)(E,1)/r! |
Ω |
0.068306928377116 |
Real period |
R |
11.199270372429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320b1 86640a1 |
Quadratic twists by: -4 -19 |