Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290bi |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3368127977909E+25 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5701253399,165694129195293] |
[a1,a2,a3,a4,a6] |
Generators |
[-20221:-16503845:1] |
Generators of the group modulo torsion |
j |
73877525106256274859/48189030400 |
j-invariant |
L |
4.3375308451778 |
L(r)(E,1)/r! |
Ω |
0.058485557024812 |
Real period |
R |
9.270517085604 |
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 |
8470a2 59290dv2 |
Quadratic twists by: -7 -11 |