Atkin-Lehner |
2+ 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498a |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2004912 |
Modular degree for the optimal curve |
Δ |
-7.7915470884503E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1045752,-591863688] |
[a1,a2,a3,a4,a6] |
Generators |
[3051131391059605:3415183583497361233:2433138625] |
Generators of the group modulo torsion |
j |
-62736640489/38648664 |
j-invariant |
L |
3.852207703363 |
L(r)(E,1)/r! |
Ω |
0.072613102743438 |
Real period |
R |
26.525568787316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498j1 |
Quadratic twists by: 17 |