Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110f |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2873868164062500 = 22 · 3 · 512 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50893,-3592492] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:970:1] |
Generators of the group modulo torsion |
j |
14577585637507429321/2873868164062500 |
j-invariant |
L |
5.2728343649648 |
L(r)(E,1)/r! |
Ω |
0.32223307516839 |
Real period |
R |
1.3636181311228 |
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 |
66330bm1 110550bj1 |
Quadratic twists by: -3 5 |