Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470w |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
206976 |
Modular degree for the optimal curve |
Δ |
-48927349999260 = -1 · 22 · 32 · 5 · 437 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4584,316533] |
[a1,a2,a3,a4,a6] |
Generators |
[26504:413611:512] |
Generators of the group modulo torsion |
j |
1685159/7740 |
j-invariant |
L |
6.887070622601 |
L(r)(E,1)/r! |
Ω |
0.45523472985908 |
Real period |
R |
3.782153563212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290i1 |
Quadratic twists by: -43 |