Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850c |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
474722986718750 = 2 · 58 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88000,-10029750] |
[a1,a2,a3,a4,a6] |
Generators |
[13665:227605:27] |
Generators of the group modulo torsion |
j |
4823468134087681/30382271150 |
j-invariant |
L |
3.4948283929355 |
L(r)(E,1)/r! |
Ω |
0.27729563649256 |
Real period |
R |
6.3016288989266 |
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 |
30800bz4 123200bc4 34650cz4 770g4 |
Quadratic twists by: -4 8 -3 5 |