Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20700m |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
1768394531250000 = 24 · 39 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37200,1879625] |
[a1,a2,a3,a4,a6] |
Generators |
[40:675:1] |
Generators of the group modulo torsion |
j |
31238127616/9703125 |
j-invariant |
L |
6.2033311838251 |
L(r)(E,1)/r! |
Ω |
0.43593422733972 |
Real period |
R |
1.1858308728668 |
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 |
82800es1 6900e1 4140e1 |
Quadratic twists by: -4 -3 5 |