Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948i |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.1151621954402E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13425428,87007444056] |
[a1,a2,a3,a4,a6] |
j |
-8885460867212914000/103431413152158273 |
j-invariant |
L |
0.81489186454374 |
L(r)(E,1)/r! |
Ω |
0.067907749452178 |
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 |
18564o4 |
Quadratic twists by: -7 |