Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2145d |
Isogeny class |
Conductor |
2145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
3485625 = 3 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72617,-7562256] |
[a1,a2,a3,a4,a6] |
j |
42349468688699229721/3485625 |
j-invariant |
L |
2.3266399833236 |
L(r)(E,1)/r! |
Ω |
0.29082999791544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320cf1 6435h1 10725i1 105105bw1 |
Quadratic twists by: -4 -3 5 -7 |