Atkin-Lehner |
2+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49840f |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
696384 |
Modular degree for the optimal curve |
Δ |
-4722741542968750000 = -1 · 24 · 513 · 73 · 893 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -1 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59762,-104708609] |
[a1,a2,a3,a4,a6] |
j |
-1475295776216487936/295171346435546875 |
j-invariant |
L |
1.4144410611253 |
L(r)(E,1)/r! |
Ω |
0.10880315856314 |
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 |
24920c1 |
Quadratic twists by: -4 |