Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680er |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
148666923902250000 = 24 · 36 · 56 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441597,-111416461] |
[a1,a2,a3,a4,a6] |
j |
1000939264/15625 |
j-invariant |
L |
3.3367701557907 |
L(r)(E,1)/r! |
Ω |
0.18537615728698 |
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 |
30420s2 13520q2 121680dg2 |
Quadratic twists by: -4 -3 13 |