Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720d |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
25809920 = 210 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 4 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,-341] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
112377856/25205 |
j-invariant |
L |
2.2033637239302 |
L(r)(E,1)/r! |
Ω |
1.5288870469511 |
Real period |
R |
1.4411553347412 |
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 |
22720be1 1420a1 113600j1 |
Quadratic twists by: -4 8 5 |