Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4290bc |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1244117160000 = 26 · 32 · 54 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-371800,-87290368] |
[a1,a2,a3,a4,a6] |
j |
5683972151443376419201/1244117160000 |
j-invariant |
L |
4.6401652746821 |
L(r)(E,1)/r! |
Ω |
0.19334021977842 |
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 |
34320bh4 12870k3 21450f4 47190bg4 |
Quadratic twists by: -4 -3 5 -11 |