Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bx |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6824256325666617600 = 28 · 320 · 52 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-764087,-224066289] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:4542:1] |
Generators of the group modulo torsion |
j |
67674348455313371689/9361119788294400 |
j-invariant |
L |
10.937166463927 |
L(r)(E,1)/r! |
Ω |
0.16296087444794 |
Real period |
R |
4.194705669761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16590b2 |
Quadratic twists by: -3 |