Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850z |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-6117120000 = -1 · 211 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-513,5631] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:92:1] |
Generators of the group modulo torsion |
j |
-23891790625/9787392 |
j-invariant |
L |
5.6960352204318 |
L(r)(E,1)/r! |
Ω |
1.2594028355287 |
Real period |
R |
0.068527369886145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800df1 26550bd1 8850i1 |
Quadratic twists by: -4 -3 5 |