Atkin-Lehner |
3- 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20085f |
Isogeny class |
Conductor |
20085 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
642416214375 = 310 · 54 · 132 · 103 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-343268,-77438617] |
[a1,a2,a3,a4,a6] |
j |
4473236423123328091321/642416214375 |
j-invariant |
L |
3.9447671751314 |
L(r)(E,1)/r! |
Ω |
0.19723835875657 |
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 |
60255c2 100425d2 |
Quadratic twists by: -3 5 |