Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008n |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1561950355968 = -1 · 29 · 34 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18400,-956444] |
[a1,a2,a3,a4,a6] |
j |
-1345645994284808/3050684289 |
j-invariant |
L |
0.81971736913015 |
L(r)(E,1)/r! |
Ω |
0.20492934228206 |
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 |
31008h2 62016bm2 93024r2 |
Quadratic twists by: -4 8 -3 |