Atkin-Lehner |
2- 3+ 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
73530x |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-477405014062500 = -1 · 22 · 39 · 58 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18088,473311] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:359:1] |
Generators of the group modulo torsion |
j |
33252674173893/24254687500 |
j-invariant |
L |
11.798366635328 |
L(r)(E,1)/r! |
Ω |
0.33441517754694 |
Real period |
R |
2.2050372237067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530c2 |
Quadratic twists by: -3 |