Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1020b |
Isogeny class |
Conductor |
1020 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
110160 = 24 · 34 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
2.2255818367755 |
L(r)(E,1)/r! |
Ω |
2.1361843356586 |
Real period |
R |
0.69456610075719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4080bc1 16320v1 3060i1 5100l1 |
Quadratic twists by: -4 8 -3 5 |