Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200c |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
529708896000000 = 211 · 39 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22275,-641250] |
[a1,a2,a3,a4,a6] |
Generators |
[6150:66700:27] |
Generators of the group modulo torsion |
j |
1940598/841 |
j-invariant |
L |
7.5139740701791 |
L(r)(E,1)/r! |
Ω |
0.40651580408483 |
Real period |
R |
4.6209606088142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400e2 52200bo2 2088h2 |
Quadratic twists by: -4 -3 5 |