Atkin-Lehner |
3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20025n |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-1013765625 = -1 · 36 · 56 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 2 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-1978] |
[a1,a2,a3,a4,a6] |
Generators |
[1830:13621:27] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
3.8837890905979 |
L(r)(E,1)/r! |
Ω |
0.593690144949 |
Real period |
R |
6.5417779352418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2225a1 801d1 |
Quadratic twists by: -3 5 |