Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bw |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-2089864882201600000 = -1 · 213 · 55 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 1 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,319333,-3663926] |
[a1,a2,a3,a4,a6] |
j |
3112538751/1806250 |
j-invariant |
L |
3.0975072470885 |
L(r)(E,1)/r! |
Ω |
0.15487536241558 |
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 |
8330u1 66640y1 |
Quadratic twists by: -4 -7 |