Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bc |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-86864651900990208 = -1 · 28 · 316 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605640,-181966988] |
[a1,a2,a3,a4,a6] |
Generators |
[128048133315431:11267380065651381:16367716819] |
Generators of the group modulo torsion |
j |
-1118952448000/3956283 |
j-invariant |
L |
7.4104953766743 |
L(r)(E,1)/r! |
Ω |
0.0855507841633 |
Real period |
R |
21.655252634882 |
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 |
39396o1 2412d1 |
Quadratic twists by: -3 -7 |