Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4095b |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
167958984375 = 33 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1575,14186] |
[a1,a2,a3,a4,a6] |
j |
16008724040427/6220703125 |
j-invariant |
L |
1.8555663997915 |
L(r)(E,1)/r! |
Ω |
0.92778319989574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cb2 4095e2 20475h2 28665o2 |
Quadratic twists by: -4 -3 5 -7 |