Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642p |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-2.4519036173703E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -1 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,209200,-235425711] |
[a1,a2,a3,a4,a6] |
Generators |
[375683104:40065748497:32768] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
8.8178393643153 |
L(r)(E,1)/r! |
Ω |
0.10302756231835 |
Real period |
R |
10.698398523043 |
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 |
8214a1 666b1 |
Quadratic twists by: -3 37 |