Atkin-Lehner |
2+ 3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110d |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
493726791106560000 = 228 · 3 · 54 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38323704,-91319700794] |
[a1,a2,a3,a4,a6] |
Generators |
[-7367344277691293103:3608598584469380819:2060843640643593] |
Generators of the group modulo torsion |
j |
6224810391469826314057327609/493726791106560000 |
j-invariant |
L |
5.269174145921 |
L(r)(E,1)/r! |
Ω |
0.06067819996075 |
Real period |
R |
21.709502545104 |
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 |
66330bq1 110550bq1 |
Quadratic twists by: -3 5 |