Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770ba |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-55303776000 = -1 · 28 · 33 · 53 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,577,9831] |
[a1,a2,a3,a4,a6] |
Generators |
[11:126:1] |
Generators of the group modulo torsion |
j |
788120875053/2048288000 |
j-invariant |
L |
7.7369147200464 |
L(r)(E,1)/r! |
Ω |
0.78245429862924 |
Real period |
R |
0.61800052840151 |
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 |
22770f1 113850a1 |
Quadratic twists by: -3 5 |