Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560bh |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
97115397120 = 210 · 38 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308400,-66023280] |
[a1,a2,a3,a4,a6] |
Generators |
[768:12276:1] |
Generators of the group modulo torsion |
j |
3167876715983582404/94839255 |
j-invariant |
L |
6.9777918472303 |
L(r)(E,1)/r! |
Ω |
0.20259132542638 |
Real period |
R |
4.3053372550328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120l4 |
Quadratic twists by: -4 |