Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280p |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-5826168000000000 = -1 · 212 · 39 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145272,21625936] |
[a1,a2,a3,a4,a6] |
Generators |
[632:13500:1] |
Generators of the group modulo torsion |
j |
-113548651969024/1951171875 |
j-invariant |
L |
7.5977928473882 |
L(r)(E,1)/r! |
Ω |
0.42707072849303 |
Real period |
R |
0.24708998678238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280q1 106560ex1 17760w1 |
Quadratic twists by: -4 8 -3 |