Atkin-Lehner |
2- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040t |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-280331194204160 = -1 · 222 · 5 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 3 5- 0 11- 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-744547,-247279774] |
[a1,a2,a3,a4,a6] |
j |
-11143974723502193721/68440232960 |
j-invariant |
L |
7.3137292807436 |
L(r)(E,1)/r! |
Ω |
0.081263658321109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130c1 |
Quadratic twists by: -4 |