Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
91140f |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18986284800 = 28 · 32 · 52 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-716,3480] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:62:1] [-22:90:1] |
Generators of the group modulo torsion |
j |
462951088/216225 |
j-invariant |
L |
9.0951902349801 |
L(r)(E,1)/r! |
Ω |
1.092106290116 |
Real period |
R |
0.69400984721097 |
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 |
91140q2 |
Quadratic twists by: -7 |