Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4095a |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1549200193734375 = 33 · 56 · 710 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131513,-18226094] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:410:1] |
Generators of the group modulo torsion |
j |
9316717055063573427/57377784953125 |
j-invariant |
L |
2.1483911293395 |
L(r)(E,1)/r! |
Ω |
0.25079492795015 |
Real period |
R |
4.2831630346339 |
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 |
65520by2 4095d2 20475j2 28665r2 |
Quadratic twists by: -4 -3 5 -7 |