Atkin-Lehner |
2- 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458bf |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-5039733006 = -1 · 2 · 36 · 72 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10652,-420483] |
[a1,a2,a3,a4,a6] |
Generators |
[598110:14084661:1000] |
Generators of the group modulo torsion |
j |
-183337554283129/6913214 |
j-invariant |
L |
12.014504169484 |
L(r)(E,1)/r! |
Ω |
0.23497084155155 |
Real period |
R |
8.5219823385729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162c1 |
Quadratic twists by: -3 |