Atkin-Lehner |
2+ 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390p |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
25411584 |
Modular degree for the optimal curve |
Δ |
-7.7812745140299E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-914485005,-10652428341275] |
[a1,a2,a3,a4,a6] |
j |
-116018153744412142670258684881/106739019396843621580800 |
j-invariant |
L |
1.482433455929 |
L(r)(E,1)/r! |
Ω |
0.01372623570307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130z1 |
Quadratic twists by: -3 |