Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650cb |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-19310373815910800 = -1 · 24 · 52 · 76 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,66492,1077152] |
[a1,a2,a3,a4,a6] |
j |
11053587253415/6565418768 |
j-invariant |
L |
6.5913407176199 |
L(r)(E,1)/r! |
Ω |
0.23540502563398 |
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 |
41650x1 850f1 |
Quadratic twists by: 5 -7 |