Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464t |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-202336869639168 = -1 · 210 · 38 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8715,-752618] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3388:1] |
Generators of the group modulo torsion |
j |
-98061470500/271048833 |
j-invariant |
L |
4.1177717189842 |
L(r)(E,1)/r! |
Ω |
0.2291714087723 |
Real period |
R |
1.4973405499707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928m2 107712bi2 4488d2 |
Quadratic twists by: -4 8 -3 |