Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bf |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-25174416736387072 = -1 · 224 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226028,-42059600] |
[a1,a2,a3,a4,a6] |
Generators |
[103575438813000:1564789662933860:155981516887] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
8.6331802732639 |
L(r)(E,1)/r! |
Ω |
0.1093507132573 |
Real period |
R |
19.737366168219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208by1 1694g1 4928i1 |
Quadratic twists by: -4 8 -11 |