Atkin-Lehner |
3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749u |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2013650525391687 = 310 · 73 · 134 · 592 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1064187,422452531] |
[a1,a2,a3,a4,a6] |
Generators |
[587:57:1] |
Generators of the group modulo torsion |
j |
388582155853972048639/5870701240209 |
j-invariant |
L |
7.2148430924936 |
L(r)(E,1)/r! |
Ω |
0.42602181995677 |
Real period |
R |
0.4233845977218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112749b2 |
Quadratic twists by: -7 |