Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bf |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4677120 |
Modular degree for the optimal curve |
Δ |
4.4291416595172E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81888888,285205703312] |
[a1,a2,a3,a4,a6] |
Generators |
[378021008:15172836500:50653] |
Generators of the group modulo torsion |
j |
20338136461105732942336/1483310580203125 |
j-invariant |
L |
6.3978916935377 |
L(r)(E,1)/r! |
Ω |
0.13126535150361 |
Real period |
R |
12.185035160258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280bh1 106560ga1 5920h1 |
Quadratic twists by: -4 8 -3 |