Atkin-Lehner |
2- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12922d |
Isogeny class |
Conductor |
12922 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-30839567668 = -1 · 22 · 76 · 13 · 712 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-230,8536] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:104:1] |
Generators of the group modulo torsion |
j |
-1345938541921/30839567668 |
j-invariant |
L |
3.6686333634186 |
L(r)(E,1)/r! |
Ω |
0.9846496537148 |
Real period |
R |
0.62097101400109 |
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 |
103376j2 116298m2 90454n2 |
Quadratic twists by: -4 -3 -7 |