Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136p |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3508372240128 = -1 · 28 · 32 · 77 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1780,-95236] |
[a1,a2,a3,a4,a6] |
Generators |
[227:3354:1] |
Generators of the group modulo torsion |
j |
-20720464/116487 |
j-invariant |
L |
6.6085530237651 |
L(r)(E,1)/r! |
Ω |
0.32983019271075 |
Real period |
R |
5.0090570795371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999642791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50568q1 14448d1 |
Quadratic twists by: -4 -7 |