Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39440h |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5406720 |
Modular degree for the optimal curve |
Δ |
7750748800000000000 = 216 · 511 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471999043,-3946933329342] |
[a1,a2,a3,a4,a6] |
Generators |
[-1754741963688762851771792843:-2139684874296750440576682:139897962713991750842267] |
Generators of the group modulo torsion |
j |
2839142026487686715303377689/1892272656250000 |
j-invariant |
L |
4.8746975434705 |
L(r)(E,1)/r! |
Ω |
0.032390248143327 |
Real period |
R |
37.62473138441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930c1 |
Quadratic twists by: -4 |