Atkin-Lehner |
2+ 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706m |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
3799720201625838 = 2 · 318 · 73 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50306,3168254] |
[a1,a2,a3,a4,a6] |
Generators |
[342:4927:1] |
Generators of the group modulo torsion |
j |
14078962801907529625/3799720201625838 |
j-invariant |
L |
4.9687794368382 |
L(r)(E,1)/r! |
Ω |
0.41249287830989 |
Real period |
R |
4.0152446245026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
62118bv2 |
Quadratic twists by: -3 |