Atkin-Lehner |
2- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106288o |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
180096 |
Modular degree for the optimal curve |
Δ |
6402394578944 = 213 · 77 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 1 7- 1 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9920,-356992] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:126:1] |
Generators of the group modulo torsion |
j |
26359827238081/1563084614 |
j-invariant |
L |
11.844722360689 |
L(r)(E,1)/r! |
Ω |
0.4801474906495 |
Real period |
R |
1.7620660595236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286g1 |
Quadratic twists by: -4 |