Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cq |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1941878369687961600 = 218 · 32 · 52 · 76 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-912696,328542804] |
[a1,a2,a3,a4,a6] |
j |
20527812941011798969/474091398849600 |
j-invariant |
L |
3.1486487110841 |
L(r)(E,1)/r! |
Ω |
0.26238739258878 |
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 |
4830b2 115920fg2 |
Quadratic twists by: -4 -3 |