Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54180d |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-162540000000 = -1 · 28 · 33 · 57 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1248,9396] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:75:1] |
Generators of the group modulo torsion |
j |
31100239872/23515625 |
j-invariant |
L |
7.4024701936544 |
L(r)(E,1)/r! |
Ω |
0.65368377189479 |
Real period |
R |
0.8088740974003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54180a1 |
Quadratic twists by: -3 |