Atkin-Lehner |
3+ 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075i |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5.7856402770915E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9528217,2399566718] |
[a1,a2,a3,a4,a6] |
j |
6122637663874238283776/3702809777338546875 |
j-invariant |
L |
1.2308051314934 |
L(r)(E,1)/r! |
Ω |
0.068378062689076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015m2 |
Quadratic twists by: 5 |