Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54464s |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-54464 = -1 · 26 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 1 3 2 -4 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[62370:429563:1331] |
Generators of the group modulo torsion |
j |
-12487168/851 |
j-invariant |
L |
9.868581938666 |
L(r)(E,1)/r! |
Ω |
1.1339372895306 |
Real period |
R |
8.7029344829842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464o1 27232h1 |
Quadratic twists by: -4 8 |