Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344s |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.6777606807585E+27 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420330476,2191668226736] |
[a1,a2,a3,a4,a6] |
Generators |
[6778667:-434344443:343] |
Generators of the group modulo torsion |
j |
31329713901973986300131793/10214846346887693144018 |
j-invariant |
L |
4.1710319121202 |
L(r)(E,1)/r! |
Ω |
0.041977017972817 |
Real period |
R |
12.420581899229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344dt3 3542k3 |
Quadratic twists by: -4 8 |