Atkin-Lehner |
2+ 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726m |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
38607384264192 = 29 · 36 · 172 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 6 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9342,179604] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:498:1] |
Generators of the group modulo torsion |
j |
123692088390625/52959374848 |
j-invariant |
L |
4.1980860143742 |
L(r)(E,1)/r! |
Ω |
0.58447192324998 |
Real period |
R |
3.5913495989941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414e1 |
Quadratic twists by: -3 |