Atkin-Lehner |
2- 7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896n |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-714678272 = -1 · 213 · 7 · 112 · 103 |
Discriminant |
Eigenvalues |
2- -1 4 7- 11- 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,-7552] |
[a1,a2,a3,a4,a6] |
Generators |
[962:29810:1] |
Generators of the group modulo torsion |
j |
-10779215329/174482 |
j-invariant |
L |
9.1429216926965 |
L(r)(E,1)/r! |
Ω |
0.45780803158834 |
Real period |
R |
4.9927705684873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998120633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15862c1 |
Quadratic twists by: -4 |