Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cj |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
129714970005504 = 212 · 38 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14196,351520] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
j-invariant |
L |
2.1221953287172 |
L(r)(E,1)/r! |
Ω |
0.53054882344605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97344ch2 48672bs1 32448bg2 576b2 |
Quadratic twists by: -4 8 -3 13 |