Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024r |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.1502386788272E+19 |
Discriminant |
Eigenvalues |
2- 2 0 7- -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-965888,-289030144] |
[a1,a2,a3,a4,a6] |
Generators |
[-9600:82432:27] |
Generators of the group modulo torsion |
j |
24330135371626554625/5249606149480448 |
j-invariant |
L |
9.3298200973426 |
L(r)(E,1)/r! |
Ω |
0.1546210348882 |
Real period |
R |
3.7712446854528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378m2 |
Quadratic twists by: -4 |