Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725b |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
71891015625 = 32 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,-11625] |
[a1,a2,a3,a4,a6] |
Generators |
[70:465:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
3.4252506873022 |
L(r)(E,1)/r! |
Ω |
0.82426471581891 |
Real period |
R |
2.077761319614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32175q2 2145g2 117975r2 |
Quadratic twists by: -3 5 -11 |