Atkin-Lehner |
2+ 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328y |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
275444133838848 = 214 · 34 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77233,8197007] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:4056:1] [151:24:1] |
Generators of the group modulo torsion |
j |
3109697253250000/16811775747 |
j-invariant |
L |
12.324450907911 |
L(r)(E,1)/r! |
Ω |
0.55278076071912 |
Real period |
R |
0.92897369879229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bq2 6708a2 |
Quadratic twists by: -4 8 |