Atkin-Lehner |
3- 5- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73935i |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-196460451675 = -1 · 314 · 52 · 31 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 1 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,528,-20808] |
[a1,a2,a3,a4,a6] |
Generators |
[466:3641:8] |
Generators of the group modulo torsion |
j |
22330474496/269493075 |
j-invariant |
L |
6.4715938618243 |
L(r)(E,1)/r! |
Ω |
0.49409217968138 |
Real period |
R |
1.6372435469238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645d1 |
Quadratic twists by: -3 |