Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640ch |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
269502898008960000 = 210 · 32 · 54 · 74 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304960,59916892] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:10164:1] |
Generators of the group modulo torsion |
j |
1729010797924/148561875 |
j-invariant |
L |
6.2476451949984 |
L(r)(E,1)/r! |
Ω |
0.3021677439272 |
Real period |
R |
1.2922551552205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240h3 |
Quadratic twists by: -11 |