Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4080m |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-726152343750000 = -1 · 24 · 37 · 513 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7644,1273275] |
[a1,a2,a3,a4,a6] |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
2.6342515939888 |
L(r)(E,1)/r! |
Ω |
0.37632165628412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2040b1 16320cd1 12240x1 20400i1 |
Quadratic twists by: -4 8 -3 5 |