Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
4977b |
Isogeny class |
Conductor |
4977 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
907228776951 = 314 · 74 · 79 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4536,-107163] |
[a1,a2,a3,a4,a6] |
Generators |
[84:273:1] |
Generators of the group modulo torsion |
j |
14160193117057/1244483919 |
j-invariant |
L |
5.2546544677432 |
L(r)(E,1)/r! |
Ω |
0.58500039098315 |
Real period |
R |
2.2455773315434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632w4 1659d3 124425e4 34839g4 |
Quadratic twists by: -4 -3 5 -7 |