Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050cy |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-19456203375000 = -1 · 23 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114155,14875347] |
[a1,a2,a3,a4,a6] |
j |
-67645179/8 |
j-invariant |
L |
3.9560966886766 |
L(r)(E,1)/r! |
Ω |
0.65934944811278 |
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 |
22050b2 882a1 22050de1 |
Quadratic twists by: -3 5 -7 |