Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
690k |
Isogeny class |
Conductor |
690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-484313964843750 = -1 · 2 · 3 · 516 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8790,1010922] |
[a1,a2,a3,a4,a6] |
j |
75108181893694559/484313964843750 |
j-invariant |
L |
3.0439311062815 |
L(r)(E,1)/r! |
Ω |
0.38049138828518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5520u6 22080d5 2070f6 3450d6 |
Quadratic twists by: -4 8 -3 5 |