Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bf |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
2061618905088 = 220 · 37 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8859,313418] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:630:1] |
Generators of the group modulo torsion |
j |
25750777177/690432 |
j-invariant |
L |
9.7132156336539 |
L(r)(E,1)/r! |
Ω |
0.82420762357776 |
Real period |
R |
2.9462283760326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16182m1 43152x1 |
Quadratic twists by: -4 -3 |