Atkin-Lehner |
3- 5- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28365i |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23975484236551875 = -1 · 3 · 54 · 314 · 614 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64498,-9764869] |
[a1,a2,a3,a4,a6] |
j |
-29672406945413682841/23975484236551875 |
j-invariant |
L |
4.6334678772386 |
L(r)(E,1)/r! |
Ω |
0.14479587116369 |
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 |
85095m3 |
Quadratic twists by: -3 |