Atkin-Lehner |
2+ 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040d |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-9349120 = -1 · 211 · 5 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 5 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,146] |
[a1,a2,a3,a4,a6] |
j |
118638/4565 |
j-invariant |
L |
3.4868307207632 |
L(r)(E,1)/r! |
Ω |
1.7434153527266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36520d1 |
Quadratic twists by: -4 |