Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635d |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
852817295883155625 = 32 · 54 · 118 · 294 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1749662,-890418921] |
[a1,a2,a3,a4,a6] |
Generators |
[11828602:234127739:6859] |
Generators of the group modulo torsion |
j |
334372435208533441/481393130625 |
j-invariant |
L |
6.5646344165426 |
L(r)(E,1)/r! |
Ω |
0.13127998900426 |
Real period |
R |
12.501209183528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998911 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4785a2 |
Quadratic twists by: -11 |