Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080r |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-56466838261350400 = -1 · 214 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-186801,33049615] |
[a1,a2,a3,a4,a6] |
Generators |
[329:2704:1] |
Generators of the group modulo torsion |
j |
-9115564624/714025 |
j-invariant |
L |
3.5465872114939 |
L(r)(E,1)/r! |
Ω |
0.34603106731448 |
Real period |
R |
2.5623329423993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080cf2 3380h2 4160h2 |
Quadratic twists by: -4 8 13 |