Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992bc |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12968631861248 = 217 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143073,-20781439] |
[a1,a2,a3,a4,a6] |
Generators |
[227819529:6147077336:250047] |
Generators of the group modulo torsion |
j |
2471097448795250/98942809 |
j-invariant |
L |
6.3523078135183 |
L(r)(E,1)/r! |
Ω |
0.24547706618522 |
Real period |
R |
12.938699146594 |
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 |
12992t2 3248b2 116928dg2 90944eg2 |
Quadratic twists by: -4 8 -3 -7 |