Atkin-Lehner |
2- 3- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52152f |
Isogeny class |
Conductor |
52152 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3009600 |
Modular degree for the optimal curve |
Δ |
-8.6350887589065E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1562608,-4534160608] |
[a1,a2,a3,a4,a6] |
j |
-206036501994209281250/4216351933059823719 |
j-invariant |
L |
0.28150212601138 |
L(r)(E,1)/r! |
Ω |
0.056300425245561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304b1 |
Quadratic twists by: -4 |