Atkin-Lehner |
5- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48925f |
Isogeny class |
Conductor |
48925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
-2595226625 = -1 · 53 · 19 · 1033 |
Discriminant |
Eigenvalues |
1 3 5- 1 5 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7027,228506] |
[a1,a2,a3,a4,a6] |
j |
-307014101693181/20761813 |
j-invariant |
L |
8.2205992839604 |
L(r)(E,1)/r! |
Ω |
1.3700998806679 |
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 |
48925e1 |
Quadratic twists by: 5 |