Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
174a |
Isogeny class |
Conductor |
174 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
-458176313589497856 = -1 · 233 · 37 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 6 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,68840,-31810330] |
[a1,a2,a3,a4,a6] |
j |
36079072622241241607/458176313589497856 |
j-invariant |
L |
1.018019957343 |
L(r)(E,1)/r! |
Ω |
0.14543142247757 |
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 |
1392i2 5568g2 522m2 4350q2 |
Quadratic twists by: -4 8 -3 5 |