Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325bg |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
311378396484375 = 38 · 59 · 11 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69305,6988322] |
[a1,a2,a3,a4,a6] |
j |
25855561493/218691 |
j-invariant |
L |
2.1879226192113 |
L(r)(E,1)/r! |
Ω |
0.54698088920276 |
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 |
38775o2 116325bj2 |
Quadratic twists by: -3 5 |