Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650cm |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-5224662205504000 = -1 · 29 · 53 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -5 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67278,-7591669] |
[a1,a2,a3,a4,a6] |
j |
-953790341/147968 |
j-invariant |
L |
5.2906405110265 |
L(r)(E,1)/r! |
Ω |
0.14696223641785 |
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 |
41650bf1 41650ci1 |
Quadratic twists by: 5 -7 |