Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560g |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-53952998400 = -1 · 210 · 36 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,944,944] |
[a1,a2,a3,a4,a6] |
Generators |
[20:168:1] |
Generators of the group modulo torsion |
j |
90756888764/52688475 |
j-invariant |
L |
6.8329575657879 |
L(r)(E,1)/r! |
Ω |
0.67386582531364 |
Real period |
R |
0.84499481809865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120e2 |
Quadratic twists by: -4 |