Atkin-Lehner |
3- 5+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
73485d |
Isogeny class |
Conductor |
73485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
130048 |
Modular degree for the optimal curve |
Δ |
-651793064355 = -1 · 38 · 5 · 234 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 6 7 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3198,79713] |
[a1,a2,a3,a4,a6] |
Generators |
[59:310:1] |
Generators of the group modulo torsion |
j |
-4961712111616/894091995 |
j-invariant |
L |
5.2030205406209 |
L(r)(E,1)/r! |
Ω |
0.87476501416112 |
Real period |
R |
0.74348831637874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24495i1 |
Quadratic twists by: -3 |