Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290d |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1534464 |
Modular degree for the optimal curve |
Δ |
110473985190970000 = 24 · 54 · 737 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 6 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5058220,4379930496] |
[a1,a2,a3,a4,a6] |
Generators |
[734216:4029317:512] |
Generators of the group modulo torsion |
j |
94575738893481/730000 |
j-invariant |
L |
3.9607499945623 |
L(r)(E,1)/r! |
Ω |
0.29928738493982 |
Real period |
R |
3.3084839136933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
730f1 |
Quadratic twists by: 73 |