Atkin-Lehner |
2- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116272n |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-98243866409728 = -1 · 28 · 136 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 -4 -3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11267,-128415] |
[a1,a2,a3,a4,a6] |
j |
128000000/79507 |
j-invariant |
L |
0.69123690461331 |
L(r)(E,1)/r! |
Ω |
0.34561847999578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29068e2 688b2 |
Quadratic twists by: -4 13 |