Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860s |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6308998214400 = -1 · 28 · 32 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3659,-84505] |
[a1,a2,a3,a4,a6] |
Generators |
[346:3165:8] |
Generators of the group modulo torsion |
j |
3670016/4275 |
j-invariant |
L |
7.3064391325753 |
L(r)(E,1)/r! |
Ω |
0.40511038768013 |
Real period |
R |
4.5089186519826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860q1 |
Quadratic twists by: -7 |