Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545f |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
728180622225 = 38 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2385,18616] |
[a1,a2,a3,a4,a6] |
Generators |
[92:710:1] |
Generators of the group modulo torsion |
j |
2058561081361/998876025 |
j-invariant |
L |
5.0638282305718 |
L(r)(E,1)/r! |
Ω |
0.80192299864029 |
Real period |
R |
1.5786516408551 |
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 |
4515e2 67725r2 94815be2 |
Quadratic twists by: -3 5 -7 |