Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475s |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-91317945796875 = -1 · 38 · 56 · 75 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -1 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10950,129906] |
[a1,a2,a3,a4,a6] |
Generators |
[56:958:1] |
Generators of the group modulo torsion |
j |
12747309056/8016939 |
j-invariant |
L |
4.9522548622244 |
L(r)(E,1)/r! |
Ω |
0.37407439795696 |
Real period |
R |
3.3096724122005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27825j1 3339f1 |
Quadratic twists by: -3 5 |