Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630w |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2721117696000 = -1 · 212 · 3 · 53 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1636,83216] |
[a1,a2,a3,a4,a6] |
j |
-273359449/1536000 |
j-invariant |
L |
4.191220356367 |
L(r)(E,1)/r! |
Ω |
0.69853672606117 |
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 |
29040ch3 116160ch3 10890ba3 18150m3 |
Quadratic twists by: -4 8 -3 5 |