Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890j |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-654506681535000 = -1 · 23 · 33 · 54 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9270,-1275604] |
[a1,a2,a3,a4,a6] |
j |
-27735580683/206045000 |
j-invariant |
L |
1.721572542384 |
L(r)(E,1)/r! |
Ω |
0.21519644070769 |
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 |
127890ed2 18270j2 |
Quadratic twists by: -3 -7 |