Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13736d |
Isogeny class |
Conductor |
13736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4992807872512 = -1 · 211 · 176 · 101 |
Discriminant |
Eigenvalues |
2- 2 0 -4 -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2672,92556] |
[a1,a2,a3,a4,a6] |
j |
1029770806750/2437894469 |
j-invariant |
L |
1.0704205663261 |
L(r)(E,1)/r! |
Ω |
0.53521028316306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27472b2 109888e2 123624h2 |
Quadratic twists by: -4 8 -3 |