Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97608k |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-104571882584064 = -1 · 211 · 32 · 77 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10568,-255760] |
[a1,a2,a3,a4,a6] |
j |
541680046/434007 |
j-invariant |
L |
1.3237308965056 |
L(r)(E,1)/r! |
Ω |
0.33093273158352 |
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 |
13944b2 |
Quadratic twists by: -7 |