Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650w |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-962963888642000 = -1 · 24 · 53 · 78 · 174 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78997,-8655739] |
[a1,a2,a3,a4,a6] |
j |
-75659639517/1336336 |
j-invariant |
L |
3.4136792431571 |
L(r)(E,1)/r! |
Ω |
0.14223663513994 |
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 |
41650cj1 41650bg1 |
Quadratic twists by: 5 -7 |