Atkin-Lehner |
2+ 3+ 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890f |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13184 |
Modular degree for the optimal curve |
Δ |
-194670 = -1 · 2 · 33 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6,-22] |
[a1,a2,a3,a4,a6] |
j |
804357/7210 |
j-invariant |
L |
3.149886793191 |
L(r)(E,1)/r! |
Ω |
1.5749433998487 |
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 |
64890bt1 |
Quadratic twists by: -3 |