Atkin-Lehner |
2- 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842w |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-581620367808 = -1 · 26 · 311 · 292 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2083,2085] |
[a1,a2,a3,a4,a6] |
Generators |
[11:156:1] |
Generators of the group modulo torsion |
j |
1371700960631/797833152 |
j-invariant |
L |
3.6550140005383 |
L(r)(E,1)/r! |
Ω |
0.55382214138656 |
Real period |
R |
0.54996808051456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10614b1 |
Quadratic twists by: -3 |