Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005d |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
3034205 = 5 · 192 · 412 |
Discriminant |
Eigenvalues |
0 0 5+ 0 -3 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-38,33] |
[a1,a2,a3,a4,a6] |
Generators |
[2:35:8] [9:-21:1] |
Generators of the group modulo torsion |
j |
16809984/8405 |
j-invariant |
L |
7.7006523483792 |
L(r)(E,1)/r! |
Ω |
2.2418191626416 |
Real period |
R |
1.7175007861087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005c1 |
Quadratic twists by: -19 |