Atkin-Lehner |
3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2145g |
Isogeny class |
Conductor |
2145 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
2145 = 3 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45,-120] |
[a1,a2,a3,a4,a6] |
j |
10091699281/2145 |
j-invariant |
L |
1.8431119360256 |
L(r)(E,1)/r! |
Ω |
1.8431119360256 |
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 |
34320bo1 6435j1 10725b1 105105g1 |
Quadratic twists by: -4 -3 5 -7 |