Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152ba |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-176782846099718144 = -1 · 219 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1787521,920685089] |
[a1,a2,a3,a4,a6] |
Generators |
[-875:42592:1] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
2.6854737908004 |
L(r)(E,1)/r! |
Ω |
0.31355512712856 |
Real period |
R |
0.21411496404102 |
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 |
9152a2 2288e2 82368dl2 100672dx2 |
Quadratic twists by: -4 8 -3 -11 |