Atkin-Lehner |
5+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175h |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-27078801572265625 = -1 · 510 · 78 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32870,-7585878] |
[a1,a2,a3,a4,a6] |
j |
251371007036631/1733043300625 |
j-invariant |
L |
1.4955317485749 |
L(r)(E,1)/r! |
Ω |
0.18694146991926 |
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 |
16835a4 |
Quadratic twists by: 5 |