Atkin-Lehner |
2+ 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498b |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
8495127046895173632 = 230 · 36 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-756021,-210916179] |
[a1,a2,a3,a4,a6] |
Generators |
[-645:3306:1] |
Generators of the group modulo torsion |
j |
9727011353134161449/1729111957438464 |
j-invariant |
L |
2.3240734473867 |
L(r)(E,1)/r! |
Ω |
0.1638816489257 |
Real period |
R |
3.545353404156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81498g1 |
Quadratic twists by: 17 |