Atkin-Lehner |
2- 3- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34782y |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
38726897322462624 = 25 · 32 · 11 · 177 · 313 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6338510,6141734244] |
[a1,a2,a3,a4,a6] |
Generators |
[1450:-512:1] |
Generators of the group modulo torsion |
j |
28163411185070227747868641/38726897322462624 |
j-invariant |
L |
11.414251139202 |
L(r)(E,1)/r! |
Ω |
0.30899702074727 |
Real period |
R |
3.6939680232508 |
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 |
104346bb1 |
Quadratic twists by: -3 |