Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gs |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-6339831664320000000 = -1 · 212 · 37 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,427019,56178275] |
[a1,a2,a3,a4,a6] |
Generators |
[3614:220941:1] |
Generators of the group modulo torsion |
j |
17869652393984/13156171875 |
j-invariant |
L |
9.4718765428493 |
L(r)(E,1)/r! |
Ω |
0.15178967518163 |
Real period |
R |
4.4572373148286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085d1 18480ck1 |
Quadratic twists by: -4 -7 |