Atkin-Lehner |
2- 3+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10578g |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
-23689304064 = -1 · 211 · 38 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -5 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-474,-8601] |
[a1,a2,a3,a4,a6] |
Generators |
[37:143:1] |
Generators of the group modulo torsion |
j |
-11779205551777/23689304064 |
j-invariant |
L |
6.6536649947416 |
L(r)(E,1)/r! |
Ω |
0.48059930710184 |
Real period |
R |
0.62929620054304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624s1 31734i1 |
Quadratic twists by: -4 -3 |