Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050be |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2894606583750000 = -1 · 24 · 39 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16308,2457216] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:1368:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
3.8003979442125 |
L(r)(E,1)/r! |
Ω |
0.32711665507135 |
Real period |
R |
0.7261167165624 |
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 |
7350cj1 4410bb1 450g1 |
Quadratic twists by: -3 5 -7 |