Atkin-Lehner |
2- 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310bp |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
1854478255680000000 = 212 · 36 · 57 · 194 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-824243,-280268269] |
[a1,a2,a3,a4,a6] |
j |
84949630152586888681/2543865920000000 |
j-invariant |
L |
1.9048573708152 |
L(r)(E,1)/r! |
Ω |
0.15873815143178 |
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 |
11590d1 |
Quadratic twists by: -3 |