Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480bu |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-3.03452279559E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-822207,-390626494] |
[a1,a2,a3,a4,a6] |
j |
-329381898333928144/162600887109375 |
j-invariant |
L |
2.4785695786718 |
L(r)(E,1)/r! |
Ω |
0.077455299338461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960bi1 17160b1 |
Quadratic twists by: -4 -3 |