Atkin-Lehner |
2+ 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170l |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8424234662549996160 = 27 · 32 · 5 · 1310 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36188848,83790350846] |
[a1,a2,a3,a4,a6] |
j |
5241408035325442708056933241/8424234662549996160 |
j-invariant |
L |
1.9836913097929 |
L(r)(E,1)/r! |
Ω |
0.19836913098128 |
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 |
120510bc2 |
Quadratic twists by: -3 |