Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550by |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-13648800000000000 = -1 · 214 · 3 · 511 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11- 7 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40713,-6452583] |
[a1,a2,a3,a4,a6] |
j |
-477643276100809/873523200000 |
j-invariant |
L |
8.8718879775481 |
L(r)(E,1)/r! |
Ω |
0.15842657160883 |
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 |
15510a1 |
Quadratic twists by: 5 |