Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010dd |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
101284325281440000 = 28 · 33 · 54 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-322421,68756001] |
[a1,a2,a3,a4,a6] |
Generators |
[46:7327:1] |
Generators of the group modulo torsion |
j |
31506888650368321/860902560000 |
j-invariant |
L |
14.32143724408 |
L(r)(E,1)/r! |
Ω |
0.33495892315463 |
Real period |
R |
0.89074586485773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430ba1 |
Quadratic twists by: -7 |