Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13804b |
Isogeny class |
Conductor |
13804 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1054934577251072 = -1 · 28 · 7 · 176 · 293 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17813,1804967] |
[a1,a2,a3,a4,a6] |
Generators |
[439710:4416787:3375] |
Generators of the group modulo torsion |
j |
-2441851961344000/4120838192387 |
j-invariant |
L |
5.6871673194652 |
L(r)(E,1)/r! |
Ω |
0.44011696400835 |
Real period |
R |
6.4609726328991 |
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 |
55216h2 124236w2 96628k2 |
Quadratic twists by: -4 -3 -7 |