Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472ch |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2995931676672 = -1 · 215 · 32 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2943,-55233] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1380:1] |
Generators of the group modulo torsion |
j |
85999709944/91428579 |
j-invariant |
L |
6.5341230776742 |
L(r)(E,1)/r! |
Ω |
0.43390164820461 |
Real period |
R |
3.7647489383456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472ca3 32736j2 |
Quadratic twists by: -4 8 |