Atkin-Lehner |
2+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41038b |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
230017966614249472 = 227 · 176 · 71 |
Discriminant |
Eigenvalues |
2+ -3 -2 3 6 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-758968,253638976] |
[a1,a2,a3,a4,a6] |
Generators |
[149:11919:1] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
2.2924001162223 |
L(r)(E,1)/r! |
Ω |
0.31550372705737 |
Real period |
R |
3.6329208177788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142e1 |
Quadratic twists by: 17 |