Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cj |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9339477840396288 = -1 · 215 · 310 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46644,2566096] |
[a1,a2,a3,a4,a6] |
j |
97336/81 |
j-invariant |
L |
2.1221953287172 |
L(r)(E,1)/r! |
Ω |
0.26527441172302 |
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 |
97344ch3 48672bs2 32448bg3 576b4 |
Quadratic twists by: -4 8 -3 13 |