Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bt |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
242121642000000000 = 210 · 3 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157208,3942912] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:4068:1] |
Generators of the group modulo torsion |
j |
5324/3 |
j-invariant |
L |
5.4567332684694 |
L(r)(E,1)/r! |
Ω |
0.26953674444506 |
Real period |
R |
5.0612146405822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400el1 58800ed1 58800ee1 |
Quadratic twists by: -4 5 -7 |