Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bm |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3885572436609600 = 26 · 310 · 52 · 114 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57182,-4310611] |
[a1,a2,a3,a4,a6] |
j |
28363974554285209/5330003342400 |
j-invariant |
L |
7.5060029855497 |
L(r)(E,1)/r! |
Ω |
0.31275012448753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17490f2 |
Quadratic twists by: -3 |