Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560bh |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4332725510400 = 28 · 34 · 52 · 74 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19300,-1033600] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:66:1] |
Generators of the group modulo torsion |
j |
3105833542459216/16924709025 |
j-invariant |
L |
6.9777918472303 |
L(r)(E,1)/r! |
Ω |
0.40518265085277 |
Real period |
R |
2.1526686275164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120l2 |
Quadratic twists by: -4 |