Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bk |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
3.6787136074894E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53815688,-120728983594] |
[a1,a2,a3,a4,a6] |
Generators |
[-3405527475:143846668759:804357] |
Generators of the group modulo torsion |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
5.455587132755 |
L(r)(E,1)/r! |
Ω |
0.056583262550068 |
Real period |
R |
9.6416977156918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470dy1 2730z1 |
Quadratic twists by: -3 13 |