Atkin-Lehner |
7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24563g |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-52002903553408423 = -1 · 73 · 118 · 294 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,70702,-8265009] |
[a1,a2,a3,a4,a6] |
Generators |
[1894:36321:8] |
Generators of the group modulo torsion |
j |
22062729659823/29354283343 |
j-invariant |
L |
4.3702575114819 |
L(r)(E,1)/r! |
Ω |
0.18942676193549 |
Real period |
R |
3.8451602322257 |
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 |
2233a1 |
Quadratic twists by: -11 |