Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bk |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-4601533396156416 = -1 · 223 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 3 0 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32901,2318506] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-2304:1] |
Generators of the group modulo torsion |
j |
1319056901063/1541044224 |
j-invariant |
L |
5.4431569139094 |
L(r)(E,1)/r! |
Ω |
0.29020294728114 |
Real period |
R |
1.1722737784924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182n1 43152be1 |
Quadratic twists by: -4 -3 |