Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965p |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-1933143310546875 = -1 · 35 · 513 · 73 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16151,-2263495] |
[a1,a2,a3,a4,a6] |
j |
-1358484641579008/5635986328125 |
j-invariant |
L |
1.9289167266367 |
L(r)(E,1)/r! |
Ω |
0.19289167266367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41895bp1 69825l1 13965h1 |
Quadratic twists by: -3 5 -7 |