Atkin-Lehner |
3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159o |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-126527427 = -1 · 36 · 133 · 79 |
Discriminant |
Eigenvalues |
2 3- 2 1 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39,549] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:9:8] |
Generators of the group modulo torsion |
j |
-4096/79 |
j-invariant |
L |
17.85012081229 |
L(r)(E,1)/r! |
Ω |
1.5614627297327 |
Real period |
R |
2.8579165694085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13351d1 120159p1 |
Quadratic twists by: -3 13 |