Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558p |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
1.4122571126762E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144523119,346775811381] |
[a1,a2,a3,a4,a6] |
Generators |
[-12253:533562:1] |
Generators of the group modulo torsion |
j |
333837938020256819250317130097/141225711267619951003309824 |
j-invariant |
L |
5.4253190538934 |
L(r)(E,1)/r! |
Ω |
0.052522654984698 |
Real period |
R |
1.0759878791578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464bp4 37674i4 87906bp4 |
Quadratic twists by: -4 -3 -7 |