Atkin-Lehner |
3+ 7+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28497b |
Isogeny class |
Conductor |
28497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61653154374567 = 314 · 7 · 232 · 592 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22437,-1246590] |
[a1,a2,a3,a4,a6] |
j |
1249247012790231001/61653154374567 |
j-invariant |
L |
0.78255345114469 |
L(r)(E,1)/r! |
Ω |
0.3912767255722 |
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 |
85491i2 |
Quadratic twists by: -3 |