Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7216i |
Isogeny class |
Conductor |
7216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1502967414784 = -1 · 214 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 2 3 -5 11- 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1216,-57088] |
[a1,a2,a3,a4,a6] |
Generators |
[64:528:1] |
Generators of the group modulo torsion |
j |
48507321023/366935404 |
j-invariant |
L |
6.0264194475305 |
L(r)(E,1)/r! |
Ω |
0.42192312662121 |
Real period |
R |
1.1902680581868 |
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 |
902b2 28864q2 64944bk2 79376w2 |
Quadratic twists by: -4 8 -3 -11 |