Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272bn |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
759850323676416 = 28 · 35 · 76 · 473 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48281,3845883] |
[a1,a2,a3,a4,a6] |
Generators |
[73:846:1] |
Generators of the group modulo torsion |
j |
413269421056/25228989 |
j-invariant |
L |
7.1886233118685 |
L(r)(E,1)/r! |
Ω |
0.49688245971318 |
Real period |
R |
0.48224841183608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544i1 1128b1 |
Quadratic twists by: -4 -7 |