Atkin-Lehner |
5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14365a |
Isogeny class |
Conductor |
14365 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
3333514965625 = 55 · 137 · 17 |
Discriminant |
Eigenvalues |
1 0 5- 2 4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2431519,-1458759600] |
[a1,a2,a3,a4,a6] |
Generators |
[30840976:-2628749453:4096] |
Generators of the group modulo torsion |
j |
329379602649536529/690625 |
j-invariant |
L |
6.4876590217639 |
L(r)(E,1)/r! |
Ω |
0.12090106582597 |
Real period |
R |
10.732178376496 |
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 |
129285s1 71825f1 1105a1 |
Quadratic twists by: -3 5 13 |