Atkin-Lehner |
3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43095i |
Isogeny class |
Conductor |
43095 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
81312 |
Modular degree for the optimal curve |
Δ |
-5471044921875 = -1 · 3 · 511 · 133 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12705,566828] |
[a1,a2,a3,a4,a6] |
Generators |
[74:162:1] |
Generators of the group modulo torsion |
j |
-103240915222528/2490234375 |
j-invariant |
L |
3.1193978291996 |
L(r)(E,1)/r! |
Ω |
0.76112945262278 |
Real period |
R |
0.18629000616092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285z1 43095c1 |
Quadratic twists by: -3 13 |