Atkin-Lehner |
2+ 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
28952b |
Isogeny class |
Conductor |
28952 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
54548484456790016 = 211 · 77 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35135939,-80163275810] |
[a1,a2,a3,a4,a6] |
Generators |
[228755874:-665849984030:27] |
Generators of the group modulo torsion |
j |
2342332008466386566815026/26635002176167 |
j-invariant |
L |
6.1135013712617 |
L(r)(E,1)/r! |
Ω |
0.062009990364283 |
Real period |
R |
14.084139243065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57904a2 |
Quadratic twists by: -4 |