Atkin-Lehner |
2- 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bi |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-92181110980608000 = -1 · 224 · 34 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6440,-14608400] |
[a1,a2,a3,a4,a6] |
j |
7210309838759/22505154048000 |
j-invariant |
L |
1.8846111174849 |
L(r)(E,1)/r! |
Ω |
0.15705092640187 |
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 |
7410l1 |
Quadratic twists by: -4 |