Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162a |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9363200 |
Modular degree for the optimal curve |
Δ |
7.5188629554074E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-287528565,-1334704359123] |
[a1,a2,a3,a4,a6] |
Generators |
[1901341402701117688879753294:632509237177671496958286793689:16732560781029224293163] |
Generators of the group modulo torsion |
j |
8146748259978623875/2330074250477568 |
j-invariant |
L |
2.7395442797622 |
L(r)(E,1)/r! |
Ω |
0.037461545622197 |
Real period |
R |
36.56475239157 |
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 |
121296cx1 45486z1 106134w1 15162z1 |
Quadratic twists by: -4 -3 -7 -19 |