Atkin-Lehner |
2- 3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344x |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
603536176300032 = 214 · 33 · 196 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36555,-2416518] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:142:1] [-81:114:1] |
Generators of the group modulo torsion |
j |
48847277653875/5457322196 |
j-invariant |
L |
9.6811654751414 |
L(r)(E,1)/r! |
Ω |
0.34778036078881 |
Real period |
R |
4.6395017116914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9918i2 79344s2 |
Quadratic twists by: -4 -3 |