Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748r |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.1289012156186E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18932397,-31717531872] |
[a1,a2,a3,a4,a6] |
Generators |
[15132:1773954:1] |
Generators of the group modulo torsion |
j |
-46905153407436463334883328/7055632597616196867 |
j-invariant |
L |
7.6283345338449 |
L(r)(E,1)/r! |
Ω |
0.036187971290658 |
Real period |
R |
2.5094942633255 |
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 |
82992bh1 62244bd1 |
Quadratic twists by: -4 -3 |