Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450f |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9638281250 = 2 · 58 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19500,-1056250] |
[a1,a2,a3,a4,a6] |
Generators |
[53300:1489475:64] |
Generators of the group modulo torsion |
j |
52485860157121/616850 |
j-invariant |
L |
4.7621263786739 |
L(r)(E,1)/r! |
Ω |
0.40400645881203 |
Real period |
R |
5.8936265433278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490l2 |
Quadratic twists by: 5 |