Atkin-Lehner |
2- 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bu |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9491733090 = 2 · 39 · 5 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10127,394741] |
[a1,a2,a3,a4,a6] |
j |
5834916486027/482230 |
j-invariant |
L |
4.9412042740201 |
L(r)(E,1)/r! |
Ω |
1.2353010686632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290a2 |
Quadratic twists by: -3 |