Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bg |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7.3554101140753E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31877915,-68028077757] |
[a1,a2,a3,a4,a6] |
Generators |
[43664857:-2930995902:4913] |
Generators of the group modulo torsion |
j |
41771267709404577625/857612543078088 |
j-invariant |
L |
10.912183709699 |
L(r)(E,1)/r! |
Ω |
0.063616411086797 |
Real period |
R |
4.7647487332325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226d4 9954k4 |
Quadratic twists by: -3 -7 |