Atkin-Lehner |
2- 3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778w |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
1104000 |
Modular degree for the optimal curve |
Δ |
-4091496600617091072 = -1 · 223 · 35 · 117 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-965643,-378381255] |
[a1,a2,a3,a4,a6] |
Generators |
[1491:37974:1] |
Generators of the group modulo torsion |
j |
-56210496209799625/2309543165952 |
j-invariant |
L |
8.8004075615574 |
L(r)(E,1)/r! |
Ω |
0.075966404318635 |
Real period |
R |
1.2591961509455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798d1 |
Quadratic twists by: -11 |