Atkin-Lehner |
2+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31262b |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16425693607708 = -1 · 22 · 79 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5038,-139392] |
[a1,a2,a3,a4,a6] |
Generators |
[32:216:1] |
Generators of the group modulo torsion |
j |
350402625/407044 |
j-invariant |
L |
3.661799211472 |
L(r)(E,1)/r! |
Ω |
0.3741329605092 |
Real period |
R |
2.4468568650622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31262c2 |
Quadratic twists by: -7 |