Atkin-Lehner |
3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10455b |
Isogeny class |
Conductor |
10455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12870272478645 = 32 · 5 · 178 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11580,-452328] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:807:8] |
Generators of the group modulo torsion |
j |
171732200292688321/12870272478645 |
j-invariant |
L |
2.5889879523093 |
L(r)(E,1)/r! |
Ω |
0.46240758286884 |
Real period |
R |
5.5989305716981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31365c4 52275i4 |
Quadratic twists by: -3 5 |