Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13804b |
Isogeny class |
Conductor |
13804 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
16992 |
Modular degree for the optimal curve |
Δ |
-735918848 = -1 · 28 · 73 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22293,1273751] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1054:1] |
Generators of the group modulo torsion |
j |
-4786397642752000/2874683 |
j-invariant |
L |
5.6871673194652 |
L(r)(E,1)/r! |
Ω |
1.320350892025 |
Real period |
R |
2.1536575442997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55216h1 124236w1 96628k1 |
Quadratic twists by: -4 -3 -7 |