Atkin-Lehner |
3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175f |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.8950026775055E+23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21547500,43817842125] |
[a1,a2,a3,a4,a6] |
j |
-70809965983288820433601/12128017136035299345 |
j-invariant |
L |
0.77676435643748 |
L(r)(E,1)/r! |
Ω |
0.097095511669342 |
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 |
19635t4 |
Quadratic twists by: 5 |