Atkin-Lehner |
5+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78925f |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-328278671875 = -1 · 57 · 7 · 114 · 41 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 11- 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-950,29781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-138:1] |
Generators of the group modulo torsion |
j |
-6068404224/21009835 |
j-invariant |
L |
5.6830758965912 |
L(r)(E,1)/r! |
Ω |
0.8441041381762 |
Real period |
R |
0.42079197041479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15785b1 |
Quadratic twists by: 5 |