Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cb |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2653389368437500 = 22 · 38 · 57 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1439401,-664807552] |
[a1,a2,a3,a4,a6] |
Generators |
[-692:404:1] |
Generators of the group modulo torsion |
j |
179415687049201/1443420 |
j-invariant |
L |
5.9936970749441 |
L(r)(E,1)/r! |
Ω |
0.13783336230096 |
Real period |
R |
2.7178185371636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bj3 1650a4 |
Quadratic twists by: 5 -7 |