Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050bf |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
865920 |
Modular degree for the optimal curve |
Δ |
-57188675904768000 = -1 · 211 · 33 · 53 · 172 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,53354,-10477912] |
[a1,a2,a3,a4,a6] |
Generators |
[352:-7384:1] |
Generators of the group modulo torsion |
j |
134377437001389427/457509407238144 |
j-invariant |
L |
6.4671017159587 |
L(r)(E,1)/r! |
Ω |
0.17970441553295 |
Real period |
R |
0.59979065204285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050bt1 |
Quadratic twists by: 5 |