Atkin-Lehner |
2+ 3- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77256d |
Isogeny class |
Conductor |
77256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5807179008 = 28 · 36 · 292 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 5 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,7972] |
[a1,a2,a3,a4,a6] |
Generators |
[6:58:1] |
Generators of the group modulo torsion |
j |
307981312/31117 |
j-invariant |
L |
6.6289303496891 |
L(r)(E,1)/r! |
Ω |
1.309774410617 |
Real period |
R |
0.63264046607434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8584f1 |
Quadratic twists by: -3 |