Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9912h |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-36379736064 = -1 · 211 · 36 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232,9200] |
[a1,a2,a3,a4,a6] |
Generators |
[11:90:1] |
Generators of the group modulo torsion |
j |
-677217746/17763543 |
j-invariant |
L |
5.9529320919771 |
L(r)(E,1)/r! |
Ω |
0.9689414064287 |
Real period |
R |
2.0479160908598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19824a2 79296l2 29736v2 69384g2 |
Quadratic twists by: -4 8 -3 -7 |