Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906bu |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
858 |
Product of Tamagawa factors cp |
deg |
2141568 |
Modular degree for the optimal curve |
Δ |
-7894193644594962432 = -1 · 213 · 311 · 72 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -1 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-585117,218928177] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:17199:1] |
Generators of the group modulo torsion |
j |
-452122194986401256737/161105992746835968 |
j-invariant |
L |
15.101844610286 |
L(r)(E,1)/r! |
Ω |
0.22022210670125 |
Real period |
R |
0.079924843848533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87906w1 |
Quadratic twists by: -7 |