Atkin-Lehner |
5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005k |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-916218532475 = -1 · 52 · 197 · 41 |
Discriminant |
Eigenvalues |
-2 -3 5+ 0 0 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4693,-132036] |
[a1,a2,a3,a4,a6] |
Generators |
[114:902:1] |
Generators of the group modulo torsion |
j |
-242970624/19475 |
j-invariant |
L |
1.2685699097068 |
L(r)(E,1)/r! |
Ω |
0.28708920018238 |
Real period |
R |
0.55234135760347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895d1 |
Quadratic twists by: -19 |