Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850r |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
1909976889600000000 = 214 · 35 · 58 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-906776,-325707802] |
[a1,a2,a3,a4,a6] |
Generators |
[-567:2779:1] |
Generators of the group modulo torsion |
j |
5277193860610063729/122238520934400 |
j-invariant |
L |
5.6080203543963 |
L(r)(E,1)/r! |
Ω |
0.15493061551145 |
Real period |
R |
0.9049244940426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770q1 |
Quadratic twists by: 5 |