Atkin-Lehner |
7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14399d |
Isogeny class |
Conductor |
14399 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-275957828531 = -1 · 72 · 117 · 172 |
Discriminant |
Eigenvalues |
2 -1 -3 7- 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2702,-58785] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:14395:8] |
Generators of the group modulo torsion |
j |
-1231925248/155771 |
j-invariant |
L |
6.4307334716689 |
L(r)(E,1)/r! |
Ω |
0.32875765398466 |
Real period |
R |
1.2225444399784 |
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 |
129591z1 100793n1 1309b1 |
Quadratic twists by: -3 -7 -11 |