Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920bq |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-146256171750000 = -1 · 24 · 38 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2733,579251] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-855:1] |
Generators of the group modulo torsion |
j |
193550855936/12539109375 |
j-invariant |
L |
6.2833922512361 |
L(r)(E,1)/r! |
Ω |
0.44190339718063 |
Real period |
R |
0.19748510056647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29640b1 |
Quadratic twists by: -3 |