Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944ba |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-1.1366305327135E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 11+ -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21621747,-64254145358] |
[a1,a2,a3,a4,a6] |
Generators |
[17221283187:1053586519456:2248091] |
Generators of the group modulo torsion |
j |
-374376499897742059249/380655265638892464 |
j-invariant |
L |
4.5599450158393 |
L(r)(E,1)/r! |
Ω |
0.033633169772736 |
Real period |
R |
16.947350809675 |
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 |
8118f1 21648bg1 |
Quadratic twists by: -4 -3 |