Atkin-Lehner |
2+ 3+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176a |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
160935766272 = 28 · 39 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1647,-17010] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:567:8] |
Generators of the group modulo torsion |
j |
98055792/31939 |
j-invariant |
L |
5.1522470425715 |
L(r)(E,1)/r! |
Ω |
0.76886458178022 |
Real period |
R |
3.3505555837899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56088g1 112176b1 |
Quadratic twists by: -4 -3 |