Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025cc |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-9534988452166875 = -1 · 37 · 54 · 178 |
Discriminant |
Eigenvalues |
0 3- 5- 1 2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,43350,-3162744] |
[a1,a2,a3,a4,a6] |
Generators |
[850:13001:8] |
Generators of the group modulo torsion |
j |
819200/867 |
j-invariant |
L |
5.2355724976578 |
L(r)(E,1)/r! |
Ω |
0.22163579167338 |
Real period |
R |
1.9685345260781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675v1 65025be1 3825k1 |
Quadratic twists by: -3 5 17 |