Atkin-Lehner |
3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575a |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
50620416 |
Modular degree for the optimal curve |
Δ |
-4.5480580348137E+24 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 5 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32606210550,-2266201939806844] |
[a1,a2,a3,a4,a6] |
j |
-9087426427572880167901787947008/10780582008447265625 |
j-invariant |
L |
1.4380846244779 |
L(r)(E,1)/r! |
Ω |
0.0056175180535792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55575b1 11115b1 |
Quadratic twists by: -3 5 |