Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cn |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2018525184 = -1 · 214 · 36 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18876,998192] |
[a1,a2,a3,a4,a6] |
j |
-368484688 |
j-invariant |
L |
5.1146648624226 |
L(r)(E,1)/r! |
Ω |
1.2786662196603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fv2 6084m2 10816m2 97344cs2 |
Quadratic twists by: -4 8 -3 13 |