Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bw |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.652278125247E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3480463,324960281] |
[a1,a2,a3,a4,a6] |
Generators |
[83865:-3811696:27] |
Generators of the group modulo torsion |
j |
298410951626444496169/169745800015810620 |
j-invariant |
L |
8.4075479810395 |
L(r)(E,1)/r! |
Ω |
0.12366201342299 |
Real period |
R |
8.4985151747801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130m3 |
Quadratic twists by: 5 |