Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050u |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
1.310852947968E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2875617,699596541] |
[a1,a2,a3,a4,a6] |
j |
1846967939946557/920653922304 |
j-invariant |
L |
1.6231481018316 |
L(r)(E,1)/r! |
Ω |
0.1352623418193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400ge1 4350y1 13050bt1 |
Quadratic twists by: -4 -3 5 |