Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fd |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.3011048742103E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78382947,267094092386] |
[a1,a2,a3,a4,a6] |
Generators |
[76989:6976970:27] |
Generators of the group modulo torsion |
j |
17836145204788591940449/770635366502400 |
j-invariant |
L |
7.2800676676143 |
L(r)(E,1)/r! |
Ω |
0.13693697196475 |
Real period |
R |
6.6454548076126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974586 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10710l2 28560cd2 |
Quadratic twists by: -4 -3 |