Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782z |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
1312080 |
Modular degree for the optimal curve |
Δ |
-188494850213476352 = -1 · 211 · 78 · 135 · 43 |
Discriminant |
Eigenvalues |
2- 3 2 7+ -4 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,118056,-13906469] |
[a1,a2,a3,a4,a6] |
Generators |
[415635:5114743:3375] |
Generators of the group modulo torsion |
j |
31565090121327/32697546752 |
j-invariant |
L |
18.371425302472 |
L(r)(E,1)/r! |
Ω |
0.17312275256896 |
Real period |
R |
9.6470830560595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782bs1 |
Quadratic twists by: -7 |