Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050fq |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1072076512500000 = -1 · 25 · 36 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33305,2828697] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2340:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
8.4504560160356 |
L(r)(E,1)/r! |
Ω |
0.46687607291242 |
Real period |
R |
0.60333326881377 |
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 |
2450p3 22050bm1 450b3 |
Quadratic twists by: -3 5 -7 |