Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050fr |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
Δ |
-36578304000 = -1 · 213 · 36 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61445,5877757] |
[a1,a2,a3,a4,a6] |
Generators |
[139:20:1] |
Generators of the group modulo torsion |
j |
-5745702166029/8192 |
j-invariant |
L |
7.5115020979888 |
L(r)(E,1)/r! |
Ω |
0.98301220781248 |
Real period |
R |
0.14694829044322 |
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 |
2450o2 22050cq2 22050fb2 |
Quadratic twists by: -3 5 -7 |