Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605z |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1152305483315 = -1 · 5 · 77 · 234 |
Discriminant |
Eigenvalues |
-1 1 5- 7- -5 -6 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,51827] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:240:1] [67:530:1] |
Generators of the group modulo torsion |
j |
-529/35 |
j-invariant |
L |
8.8933052508516 |
L(r)(E,1)/r! |
Ω |
0.71673576287106 |
Real period |
R |
2.0680111394629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515b1 129605h1 |
Quadratic twists by: -7 -23 |