Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040bu |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-610814400000000 = -1 · 212 · 3 · 58 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3360,1185600] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:448:1] |
Generators of the group modulo torsion |
j |
1023887723039/149124609375 |
j-invariant |
L |
7.3295551537116 |
L(r)(E,1)/r! |
Ω |
0.39615730312837 |
Real period |
R |
2.3127035320431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5565f4 |
Quadratic twists by: -4 |