Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bt |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880000 |
Modular degree for the optimal curve |
Δ |
-3128551086500 = -1 · 22 · 53 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 2 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10443016,12988467178] |
[a1,a2,a3,a4,a6] |
j |
-21417553667311829/532 |
j-invariant |
L |
3.349751823473 |
L(r)(E,1)/r! |
Ω |
0.41871923781026 |
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 |
126350df1 6650bi1 |
Quadratic twists by: 5 -19 |