Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650cn |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-127891531250000 = -1 · 24 · 59 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40305,3171697] |
[a1,a2,a3,a4,a6] |
j |
-75659639517/1336336 |
j-invariant |
L |
9.391604641478 |
L(r)(E,1)/r! |
Ω |
0.58697529008973 |
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 |
41650bg1 41650cj1 |
Quadratic twists by: 5 -7 |