Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4095b |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
99815625 = 33 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1380,20075] |
[a1,a2,a3,a4,a6] |
j |
10768971245787/3696875 |
j-invariant |
L |
1.8555663997915 |
L(r)(E,1)/r! |
Ω |
1.8555663997915 |
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 |
65520cb1 4095e1 20475h1 28665o1 |
Quadratic twists by: -4 -3 5 -7 |