Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dj |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-69486440625000 = -1 · 23 · 33 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70055,-7130553] |
[a1,a2,a3,a4,a6] |
j |
-30642435/56 |
j-invariant |
L |
3.5210641254642 |
L(r)(E,1)/r! |
Ω |
0.14671100522768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22050m2 22050c1 3150bc1 |
Quadratic twists by: -3 5 -7 |