Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bp |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-57964645705075200 = -1 · 29 · 313 · 52 · 75 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,91170,-4703724] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-4344:1] |
Generators of the group modulo torsion |
j |
680240780047751/470488435200 |
j-invariant |
L |
4.9602932559494 |
L(r)(E,1)/r! |
Ω |
0.19910276166923 |
Real period |
R |
0.62283079602308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490ds1 106470ff1 |
Quadratic twists by: -3 13 |