Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800f |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2087150000000000 = -1 · 210 · 511 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -4 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25992,1501988] |
[a1,a2,a3,a4,a6] |
j |
121368536636/130446875 |
j-invariant |
L |
2.463317058388 |
L(r)(E,1)/r! |
Ω |
0.3079146655871 |
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 |
49400l1 19760j1 |
Quadratic twists by: -4 5 |