Atkin-Lehner |
2- 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350db |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
-5927470523437500 = -1 · 22 · 37 · 59 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43388,-5085108] |
[a1,a2,a3,a4,a6] |
j |
-4624909012781/3034864908 |
j-invariant |
L |
4.4987285648166 |
L(r)(E,1)/r! |
Ω |
0.16066888296897 |
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 |
88350w1 |
Quadratic twists by: 5 |