Atkin-Lehner |
2- 3- 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bu |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-31519621012930344 = -1 · 23 · 36 · 710 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1572611,-758721621] |
[a1,a2,a3,a4,a6] |
j |
-590010651768774863593/43236791512936 |
j-invariant |
L |
8.088976251042 |
L(r)(E,1)/r! |
Ω |
0.067408140013482 |
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 |
14098c1 |
Quadratic twists by: -3 |