Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cn |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2173796352 = 215 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34956,-2515536] |
[a1,a2,a3,a4,a6] |
Generators |
[216:108:1] |
Generators of the group modulo torsion |
j |
197747699976/91 |
j-invariant |
L |
5.5708664392275 |
L(r)(E,1)/r! |
Ω |
0.34915569812439 |
Real period |
R |
3.9888124905268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416br4 26208w4 5824h4 |
Quadratic twists by: -4 8 -3 |