Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642h |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
104088508961472 = 26 · 38 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-718610,-234769548] |
[a1,a2,a3,a4,a6] |
Generators |
[993:5163:1] |
Generators of the group modulo torsion |
j |
348831893748633625/884737728 |
j-invariant |
L |
2.8747020981817 |
L(r)(E,1)/r! |
Ω |
0.16397446702462 |
Real period |
R |
4.3828501936068 |
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 |
101136cd2 37926bu2 1806c2 |
Quadratic twists by: -4 -3 -7 |