Atkin-Lehner |
2- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
77420m |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
-4954880 = -1 · 28 · 5 · 72 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-765,-7895] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1742:1] |
Generators of the group modulo torsion |
j |
-3952205824/395 |
j-invariant |
L |
5.6739333049696 |
L(r)(E,1)/r! |
Ω |
0.45384159578659 |
Real period |
R |
4.16733750041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77420b1 |
Quadratic twists by: -7 |