Atkin-Lehner |
2- 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630bt |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4057802205930000 = 24 · 39 · 54 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-142560257,-655122010111] |
[a1,a2,a3,a4,a6] |
j |
439533103710308245640286409/5566258170000 |
j-invariant |
L |
5.5925504066795 |
L(r)(E,1)/r! |
Ω |
0.043691800052025 |
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 |
12210o4 |
Quadratic twists by: -3 |