Atkin-Lehner |
2+ 7+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15694a |
Isogeny class |
Conductor |
15694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19760 |
Modular degree for the optimal curve |
Δ |
-78167670784 = -1 · 219 · 7 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,914,8628] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:562:27] |
Generators of the group modulo torsion |
j |
84298462406423/78167670784 |
j-invariant |
L |
6.0244314857635 |
L(r)(E,1)/r! |
Ω |
0.71058766957537 |
Real period |
R |
4.2390487083484 |
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 |
125552f1 109858h1 |
Quadratic twists by: -4 -7 |