Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ei |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
6489945927843840 = 218 · 312 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129387,17489306] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:5346:1] |
Generators of the group modulo torsion |
j |
80224711835689/2173469760 |
j-invariant |
L |
6.4458031219488 |
L(r)(E,1)/r! |
Ω |
0.42119075391062 |
Real period |
R |
1.2753135133481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bh1 18480bl1 |
Quadratic twists by: -4 -3 |