Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304y |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
420000 |
Modular degree for the optimal curve |
Δ |
-4040514155383552 = -1 · 28 · 78 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2287,-3058747] |
[a1,a2,a3,a4,a6] |
j |
896000/2737867 |
j-invariant |
L |
1.2229515547265 |
L(r)(E,1)/r! |
Ω |
0.20382526159225 |
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 |
73304bd1 |
Quadratic twists by: -7 |