Atkin-Lehner |
3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159p |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
569088 |
Modular degree for the optimal curve |
Δ |
-610723723390443 = -1 · 36 · 139 · 79 |
Discriminant |
Eigenvalues |
-2 3- -2 -1 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6591,1206702] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1098:1] |
Generators of the group modulo torsion |
j |
-4096/79 |
j-invariant |
L |
2.2170248896273 |
L(r)(E,1)/r! |
Ω |
0.43307184129056 |
Real period |
R |
1.2798251677096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996481196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13351c1 120159o1 |
Quadratic twists by: -3 13 |