Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725i |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.5900831222534E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1583188,-1191318133] |
[a1,a2,a3,a4,a6] |
Generators |
[10997:1139639:1] |
Generators of the group modulo torsion |
j |
-28086729490688202361/22976531982421875 |
j-invariant |
L |
2.8012432279271 |
L(r)(E,1)/r! |
Ω |
0.065031564523506 |
Real period |
R |
5.3843915036724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175h3 2145d4 117975bx3 |
Quadratic twists by: -3 5 -11 |