Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770f |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-40316452704000 = -1 · 28 · 39 · 53 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5196,-270640] |
[a1,a2,a3,a4,a6] |
Generators |
[56:412:1] |
Generators of the group modulo torsion |
j |
788120875053/2048288000 |
j-invariant |
L |
4.258226724251 |
L(r)(E,1)/r! |
Ω |
0.33255054633812 |
Real period |
R |
1.0670625290753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770ba1 113850dk1 |
Quadratic twists by: -3 5 |