Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070ba |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-694420439040 = -1 · 216 · 38 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1957,-22773] |
[a1,a2,a3,a4,a6] |
Generators |
[47:390:1] |
Generators of the group modulo torsion |
j |
1137566234519/952565760 |
j-invariant |
L |
8.0878330822055 |
L(r)(E,1)/r! |
Ω |
0.50030689770045 |
Real period |
R |
2.0207179631591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690h1 |
Quadratic twists by: -3 |