Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bm |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.8272583681584E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79126000,-270925479952] |
[a1,a2,a3,a4,a6] |
Generators |
[-25123892:-10364640:4913] |
Generators of the group modulo torsion |
j |
454771411897393003396/23468066028225 |
j-invariant |
L |
9.3470358192085 |
L(r)(E,1)/r! |
Ω |
0.050619878221393 |
Real period |
R |
7.6938119878005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979356 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920b2 |
Quadratic twists by: -7 |