Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469z |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1.479475297093E+20 |
Discriminant |
Eigenvalues |
1 3- -4 7- 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7769858,-8316272653] |
[a1,a2,a3,a4,a6] |
j |
1285524970919434783/3666277706211 |
j-invariant |
L |
1.8088424455206 |
L(r)(E,1)/r! |
Ω |
0.090442121517427 |
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 |
77469f2 |
Quadratic twists by: -7 |