Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22120d |
Isogeny class |
Conductor |
22120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-43624090720000 = -1 · 28 · 54 · 7 · 794 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6863,-385838] |
[a1,a2,a3,a4,a6] |
Generators |
[1204623:71368550:343] |
Generators of the group modulo torsion |
j |
-139645113543504/170406604375 |
j-invariant |
L |
4.8095353232172 |
L(r)(E,1)/r! |
Ω |
0.25062809475924 |
Real period |
R |
9.5949644588677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44240e1 110600g1 |
Quadratic twists by: -4 5 |