Atkin-Lehner |
3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8979a |
Isogeny class |
Conductor |
8979 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3968 |
Modular degree for the optimal curve |
Δ |
1856524977 = 32 · 414 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-574,-5110] |
[a1,a2,a3,a4,a6] |
Generators |
[1052:33606:1] |
Generators of the group modulo torsion |
j |
20917350641377/1856524977 |
j-invariant |
L |
1.7838752382042 |
L(r)(E,1)/r! |
Ω |
0.98089504728201 |
Real period |
R |
3.6372397702428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26937a1 |
Quadratic twists by: -3 |