Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104cg |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-55104 = -1 · 26 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1456,-20906] |
[a1,a2,a3,a4,a6] |
j |
-5337355226176/861 |
j-invariant |
L |
0.38641533657264 |
L(r)(E,1)/r! |
Ω |
0.38641533867514 |
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 |
55104cx1 27552z1 |
Quadratic twists by: -4 8 |