Atkin-Lehner |
3- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865r |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
5040000 |
Modular degree for the optimal curve |
Δ |
-6.2040599720059E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 2 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,890520,-197160991] |
[a1,a2,a3,a4,a6] |
Generators |
[15258:735071:8] |
Generators of the group modulo torsion |
j |
44085741154463744/35020301146875 |
j-invariant |
L |
19.722212012198 |
L(r)(E,1)/r! |
Ω |
0.10940531102922 |
Real period |
R |
1.2017827369851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999456388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715i1 |
Quadratic twists by: -11 |