Atkin-Lehner |
2+ 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558a |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2424576 |
Modular degree for the optimal curve |
Δ |
-1.8817216627213E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,104179,-208261335] |
[a1,a2,a3,a4,a6] |
Generators |
[23149256:-4934090847:512] |
Generators of the group modulo torsion |
j |
53030239093/7980336756 |
j-invariant |
L |
2.4539838860959 |
L(r)(E,1)/r! |
Ω |
0.10275047609958 |
Real period |
R |
11.941472151056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999527059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96558cb1 |
Quadratic twists by: -11 |