Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290bi |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
1.2771044244318E+26 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-358512919,2555685734685] |
[a1,a2,a3,a4,a6] |
Generators |
[-35413768591:-14341012024018:6967871] |
Generators of the group modulo torsion |
j |
18370278334948779/460366807040 |
j-invariant |
L |
4.3375308451778 |
L(r)(E,1)/r! |
Ω |
0.058485557024812 |
Real period |
R |
18.541034171208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470a1 59290dv1 |
Quadratic twists by: -7 -11 |