Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872o |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
32617728 |
Modular degree for the optimal curve |
Δ |
-6.1450579384546E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- 6 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28666191,-372491271693] |
[a1,a2,a3,a4,a6] |
Generators |
[310647:173166246:1] |
Generators of the group modulo torsion |
j |
47473605989731328/1119810500041203 |
j-invariant |
L |
9.2226946030416 |
L(r)(E,1)/r! |
Ω |
0.03019315453075 |
Real period |
R |
1.1570321031116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872bj1 |
Quadratic twists by: -11 |