Atkin-Lehner |
2+ 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
87472b |
Isogeny class |
Conductor |
87472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52158503936 = 210 · 72 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11- 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1232,12100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:110:1] |
Generators of the group modulo torsion |
j |
202119559492/50936039 |
j-invariant |
L |
4.650988885462 |
L(r)(E,1)/r! |
Ω |
1.0525595416539 |
Real period |
R |
1.1046854600341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43736b2 |
Quadratic twists by: -4 |