Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bp |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-58079634259968 = -1 · 219 · 37 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85260,-9589232] |
[a1,a2,a3,a4,a6] |
Generators |
[608:12780:1] |
Generators of the group modulo torsion |
j |
-358667682625/303918 |
j-invariant |
L |
5.1277163811042 |
L(r)(E,1)/r! |
Ω |
0.13968866239588 |
Real period |
R |
4.5885223370636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312j2 5328t2 7104u2 |
Quadratic twists by: -4 8 -3 |