Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728d |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-19636418248731648 = -1 · 210 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11907,6760530] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:2548:1] [-21:2646:1] |
Generators of the group modulo torsion |
j |
-78732/8281 |
j-invariant |
L |
9.2811555569411 |
L(r)(E,1)/r! |
Ω |
0.31649290582827 |
Real period |
R |
1.8328127159621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864z2 91728c2 13104g2 |
Quadratic twists by: -4 -3 -7 |