Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23408h |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
12616912 = 24 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2176,-39069] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1716:1] |
Generators of the group modulo torsion |
j |
71216463347712/788557 |
j-invariant |
L |
4.1638266445553 |
L(r)(E,1)/r! |
Ω |
0.69901278717703 |
Real period |
R |
3.971149713747 |
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 |
5852b1 93632bb1 |
Quadratic twists by: -4 8 |