Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5320b |
Isogeny class |
Conductor |
5320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
66500000000000 = 211 · 512 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10883,-192418] |
[a1,a2,a3,a4,a6] |
j |
69604873310898/32470703125 |
j-invariant |
L |
0.97794509251199 |
L(r)(E,1)/r! |
Ω |
0.48897254625599 |
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 |
10640b3 42560bo4 47880bo4 26600t4 |
Quadratic twists by: -4 8 -3 5 |