Atkin-Lehner |
2+ 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632j |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1249280 |
Modular degree for the optimal curve |
Δ |
-3033400227626928 = -1 · 24 · 3 · 198 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2649859,1659402680] |
[a1,a2,a3,a4,a6] |
j |
-128609245409850431629312/189587514226683 |
j-invariant |
L |
1.5318712771329 |
L(r)(E,1)/r! |
Ω |
0.38296781951823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27816b1 |
Quadratic twists by: -4 |