Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397q |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3456068901355288413 = 312 · 13 · 298 |
Discriminant |
Eigenvalues |
-1 3- 0 0 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401315,-39587434] |
[a1,a2,a3,a4,a6] |
j |
16484028625/7970157 |
j-invariant |
L |
0.79633806150486 |
L(r)(E,1)/r! |
Ω |
0.19908452950905 |
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 |
32799f2 3393e2 |
Quadratic twists by: -3 29 |