Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024r |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
220043337921462272 = 238 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 2 0 7- -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310528,62767104] |
[a1,a2,a3,a4,a6] |
Generators |
[9906:984354:1] |
Generators of the group modulo torsion |
j |
808476612589626625/53721518047232 |
j-invariant |
L |
9.3298200973426 |
L(r)(E,1)/r! |
Ω |
0.3092420697764 |
Real period |
R |
7.5424893709055 |
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 |
7378m1 |
Quadratic twists by: -4 |