Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560bg |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
263163600 = 24 · 33 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1555,23078] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:177:1] [26:30:1] |
Generators of the group modulo torsion |
j |
26006036555776/16447725 |
j-invariant |
L |
11.02496704463 |
L(r)(E,1)/r! |
Ω |
1.727034792106 |
Real period |
R |
1.0639591720081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120r1 |
Quadratic twists by: -4 |