Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54036j |
Isogeny class |
Conductor |
54036 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-52522992 = -1 · 24 · 37 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,-2491] |
[a1,a2,a3,a4,a6] |
Generators |
[28:99:1] |
Generators of the group modulo torsion |
j |
-389344000/4503 |
j-invariant |
L |
5.6643312074528 |
L(r)(E,1)/r! |
Ω |
0.55349741235496 |
Real period |
R |
2.5584271402778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18012c1 |
Quadratic twists by: -3 |