Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
624h |
Isogeny class |
Conductor |
624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4313088 = 212 · 34 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1112,13908] |
[a1,a2,a3,a4,a6] |
j |
37159393753/1053 |
j-invariant |
L |
2.2865886336507 |
L(r)(E,1)/r! |
Ω |
2.2865886336507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39a2 2496t4 1872q3 15600be4 |
Quadratic twists by: -4 8 -3 5 |