Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024j |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
31449600 |
Modular degree for the optimal curve |
Δ |
-1.146482114581E+29 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,604537640,-15252924444908] |
[a1,a2,a3,a4,a6] |
Generators |
[1021341079725738:243413904509468672:20101460959] |
Generators of the group modulo torsion |
j |
5965320777755289448477147559/27990286000513453786136576 |
j-invariant |
L |
7.0567218041698 |
L(r)(E,1)/r! |
Ω |
0.016770038063265 |
Real period |
R |
17.533059499598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378h1 |
Quadratic twists by: -4 |