Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13376a |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22901424128 = -1 · 219 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,404,6576] |
[a1,a2,a3,a4,a6] |
Generators |
[6:96:1] |
Generators of the group modulo torsion |
j |
27818127/87362 |
j-invariant |
L |
4.1509886746375 |
L(r)(E,1)/r! |
Ω |
0.84937683544677 |
Real period |
R |
1.2217747474989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13376s2 418a2 120384bj2 |
Quadratic twists by: -4 8 -3 |