Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192s |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
132496 = 24 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 1 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86,-337] |
[a1,a2,a3,a4,a6] |
Generators |
[11:13:1] |
Generators of the group modulo torsion |
j |
90770176/169 |
j-invariant |
L |
4.8016200346861 |
L(r)(E,1)/r! |
Ω |
1.5664029773871 |
Real period |
R |
1.5326898965346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2548e1 40768dp1 91728dv1 10192o1 |
Quadratic twists by: -4 8 -3 -7 |