Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
46728j |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
78485096448 = 211 · 310 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20186499,34909177822] |
[a1,a2,a3,a4,a6] |
j |
609325348104099171074/52569 |
j-invariant |
L |
3.35441690304 |
L(r)(E,1)/r! |
Ω |
0.419302112883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456g4 15576j3 |
Quadratic twists by: -4 -3 |