Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3920y |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-20661046784000 = -1 · 212 · 53 · 79 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -1 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5488,268912] |
[a1,a2,a3,a4,a6] |
Generators |
[49:343:1] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
1.9592132409779 |
L(r)(E,1)/r! |
Ω |
0.61880953120003 |
Real period |
R |
1.5830503104715 |
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 |
245b1 15680du1 35280fg1 19600cx1 |
Quadratic twists by: -4 8 -3 5 |