Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124844f |
Isogeny class |
Conductor |
124844 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
260928 |
Modular degree for the optimal curve |
Δ |
-1640981496064 = -1 · 28 · 232 · 594 |
Discriminant |
Eigenvalues |
2- -2 -1 0 -6 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30996,2091028] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:3481:8] |
Generators of the group modulo torsion |
j |
-24319746442576/12117361 |
j-invariant |
L |
2.609774332626 |
L(r)(E,1)/r! |
Ω |
0.83104066130838 |
Real period |
R |
1.5701845436351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999730201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124844e1 |
Quadratic twists by: -23 |