Atkin-Lehner |
3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112749r |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
458240 |
Modular degree for the optimal curve |
Δ |
-916545528171 = -1 · 310 · 73 · 13 · 592 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -4 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15262,722110] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:850:1] [200:2389:1] |
Generators of the group modulo torsion |
j |
-1146284435132416/2672144397 |
j-invariant |
L |
5.6876887734459 |
L(r)(E,1)/r! |
Ω |
0.88659130725727 |
Real period |
R |
0.16038079584887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999919502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112749h1 |
Quadratic twists by: -7 |