Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312k |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
2363266368 = 26 · 36 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,9074] |
[a1,a2,a3,a4,a6] |
j |
1404928000/50653 |
j-invariant |
L |
1.4432480686573 |
L(r)(E,1)/r! |
Ω |
1.4432480686573 |
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 |
21312bq2 333a2 2368c2 |
Quadratic twists by: -4 8 -3 |