Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150d |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-26199719936000000 = -1 · 227 · 56 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,62775,4925125] |
[a1,a2,a3,a4,a6] |
j |
1750866528803183/1676782075904 |
j-invariant |
L |
0.49377285760655 |
L(r)(E,1)/r! |
Ω |
0.24688642880328 |
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 |
806e1 |
Quadratic twists by: 5 |