Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506bm |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
39653301676032 = 211 · 38 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-316219,68416145] |
[a1,a2,a3,a4,a6] |
Generators |
[302:545:1] |
Generators of the group modulo torsion |
j |
143381687390091773/1625868288 |
j-invariant |
L |
7.7943865914046 |
L(r)(E,1)/r! |
Ω |
0.58621198601259 |
Real period |
R |
0.15109308068453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55506h2 |
Quadratic twists by: 29 |