Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205j |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34735279005 = 310 · 5 · 76 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-952569,-357605172] |
[a1,a2,a3,a4,a6] |
j |
1114544804970241/405 |
j-invariant |
L |
2.4450931276475 |
L(r)(E,1)/r! |
Ω |
0.15281832047797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280fr8 735e7 11025z7 45a7 |
Quadratic twists by: -4 -3 5 -7 |