Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5985b |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
628425 = 33 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,22] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
47832147/23275 |
j-invariant |
L |
2.3518832621675 |
L(r)(E,1)/r! |
Ω |
2.5662344649644 |
Real period |
R |
0.45823623957137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bq1 5985e1 29925a1 41895g1 |
Quadratic twists by: -4 -3 5 -7 |