Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568t |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0955900134617E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-991731,345170194] |
[a1,a2,a3,a4,a6] |
j |
72251671383620066/7338217575591 |
j-invariant |
L |
1.7670440415474 |
L(r)(E,1)/r! |
Ω |
0.22088050655522 |
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 |
35784h3 23856k3 |
Quadratic twists by: -4 -3 |