Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bd |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-13006560 = -1 · 25 · 3 · 5 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[18:64:1] |
Generators of the group modulo torsion |
j |
-2048383/37920 |
j-invariant |
L |
4.0873102123596 |
L(r)(E,1)/r! |
Ω |
0.96551802845817 |
Real period |
R |
2.1166410498451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130t1 |
Quadratic twists by: -7 |