Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336g |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
1971216 = 24 · 36 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -1 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,65] |
[a1,a2,a3,a4,a6] |
j |
3328 |
j-invariant |
L |
2.4344740785414 |
L(r)(E,1)/r! |
Ω |
2.4344740785415 |
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 |
12168o1 97344fk1 2704c1 24336j1 |
Quadratic twists by: -4 8 -3 13 |