Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050s |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
11117830500 = 22 · 33 · 53 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-597,2561] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:76:1] |
Generators of the group modulo torsion |
j |
59319/28 |
j-invariant |
L |
3.3299810750436 |
L(r)(E,1)/r! |
Ω |
1.1404106444726 |
Real period |
R |
0.36499802627935 |
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 |
22050do1 22050dp1 3150j1 |
Quadratic twists by: -3 5 -7 |