Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104ck |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-510318144 = -1 · 26 · 34 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92,1170] |
[a1,a2,a3,a4,a6] |
j |
-1360251712/7973721 |
j-invariant |
L |
2.8531742682389 |
L(r)(E,1)/r! |
Ω |
1.4265871336648 |
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 |
55104da1 27552bc2 |
Quadratic twists by: -4 8 |