Atkin-Lehner |
3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049q |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4061683398199707 = -1 · 38 · 79 · 232 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39738,328383] |
[a1,a2,a3,a4,a6] |
j |
171972373481/100652301 |
j-invariant |
L |
2.1288763532705 |
L(r)(E,1)/r! |
Ω |
0.2661095559492 |
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 |
98049g2 |
Quadratic twists by: -7 |