Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104i |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-464949760782237696 = -1 · 218 · 37 · 7 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 7 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,188223,9338049] |
[a1,a2,a3,a4,a6] |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
1.8378142156752 |
L(r)(E,1)/r! |
Ω |
0.18378142122276 |
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 |
55104dk1 861c1 |
Quadratic twists by: -4 8 |