Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350j |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1718434116000000 = 28 · 34 · 56 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2763600,1767168000] |
[a1,a2,a3,a4,a6] |
Generators |
[27120:-79360:27] |
Generators of the group modulo torsion |
j |
149392736901862384897/109979783424 |
j-invariant |
L |
3.4190603830258 |
L(r)(E,1)/r! |
Ω |
0.39190500923581 |
Real period |
R |
1.0905258616387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1974i2 |
Quadratic twists by: 5 |