Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102q |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1979593668 = 22 · 37 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130343616,-572740710260] |
[a1,a2,a3,a4,a6] |
j |
335942910769775677468978177/2715492 |
j-invariant |
L |
2.1447088833749 |
L(r)(E,1)/r! |
Ω |
0.044681435070312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034d4 |
Quadratic twists by: -3 |