Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
91140f |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-318990000 = -1 · 24 · 3 · 54 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,330] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] [5:35:1] |
Generators of the group modulo torsion |
j |
80494592/58125 |
j-invariant |
L |
9.0951902349801 |
L(r)(E,1)/r! |
Ω |
1.092106290116 |
Real period |
R |
2.7760393888439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91140q1 |
Quadratic twists by: -7 |