Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275j |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8513859375 = 34 · 56 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-788,-7594] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:40:1] |
Generators of the group modulo torsion |
j |
3463512697/544887 |
j-invariant |
L |
2.5582450209533 |
L(r)(E,1)/r! |
Ω |
0.91064155358496 |
Real period |
R |
1.4046388564645 |
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 |
48825bh2 651c2 113925bz2 |
Quadratic twists by: -3 5 -7 |