Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988bj |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-896183234779392 = -1 · 28 · 36 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -1 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151263,-22689450] |
[a1,a2,a3,a4,a6] |
j |
-7260624/17 |
j-invariant |
L |
3.0256275722099 |
L(r)(E,1)/r! |
Ω |
0.1210251028884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952ft1 3332f1 29988y1 |
Quadratic twists by: -4 -3 -7 |