Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cu |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-220573586958400 = -1 · 26 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3887,-720616] |
[a1,a2,a3,a4,a6] |
Generators |
[445164168:7796820500:1367631] |
Generators of the group modulo torsion |
j |
-21024576/714025 |
j-invariant |
L |
7.112264245879 |
L(r)(E,1)/r! |
Ω |
0.2440362916537 |
Real period |
R |
14.572144572679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080cv1 27040b2 4160l1 |
Quadratic twists by: -4 8 13 |