Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bl |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35177510566406250 = -1 · 2 · 37 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48240117,-128949609209] |
[a1,a2,a3,a4,a6] |
Generators |
[73181518895:2309522693687:8615125] |
Generators of the group modulo torsion |
j |
-14822892630025/42 |
j-invariant |
L |
3.7920598419064 |
L(r)(E,1)/r! |
Ω |
0.028642931897751 |
Real period |
R |
16.548846393603 |
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 |
7350bt2 22050fn1 3150n2 |
Quadratic twists by: -3 5 -7 |