Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bz |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
444979457556480000 = 226 · 39 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3013443,2013202242] |
[a1,a2,a3,a4,a6] |
Generators |
[991:350:1] |
Generators of the group modulo torsion |
j |
37537160298467283/5519360000 |
j-invariant |
L |
5.0751170151937 |
L(r)(E,1)/r! |
Ω |
0.28691595692595 |
Real period |
R |
2.2110642910631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930a1 55440ce1 |
Quadratic twists by: -4 -3 |