Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275i |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-34927046875 = -1 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-942433,351832919] |
[a1,a2,a3,a4,a6] |
j |
-50357871050752/19 |
j-invariant |
L |
0.69760593890348 |
L(r)(E,1)/r! |
Ω |
0.6976059389035 |
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 |
931b3 475a3 |
Quadratic twists by: 5 -7 |