Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050eo |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
482635444971093750 = 2 · 37 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21176820230,-1186143682262353] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
3.2038659178188 |
L(r)(E,1)/r! |
Ω |
0.01251510124148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350bc7 4410r7 3150bk7 |
Quadratic twists by: -3 5 -7 |