Atkin-Lehner |
5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005l |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-7030475 = -1 · 52 · 193 · 41 |
Discriminant |
Eigenvalues |
0 -3 5- -4 -6 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,38,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] [0:9:1] |
Generators of the group modulo torsion |
j |
884736/1025 |
j-invariant |
L |
4.0526819839412 |
L(r)(E,1)/r! |
Ω |
1.5742758232757 |
Real period |
R |
0.64357876873311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005n1 |
Quadratic twists by: -19 |