Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022f |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
34955931442432 = 28 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11- 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42231,-3345899] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:113:1] |
Generators of the group modulo torsion |
j |
38859069337/163072 |
j-invariant |
L |
2.3981005962384 |
L(r)(E,1)/r! |
Ω |
0.33311947004171 |
Real period |
R |
1.7997301358115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22022o1 |
Quadratic twists by: -11 |