Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640eg |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
3201120 |
Modular degree for the optimal curve |
Δ |
-7.8199199594689E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1259770,-1230017865] |
[a1,a2,a3,a4,a6] |
Generators |
[15859:2001915:1] |
Generators of the group modulo torsion |
j |
2253933824/7971615 |
j-invariant |
L |
7.0371599457383 |
L(r)(E,1)/r! |
Ω |
0.081150303660588 |
Real period |
R |
6.6705849681528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660q1 86640cl1 |
Quadratic twists by: -4 -19 |