Atkin-Lehner |
3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
15219f |
Isogeny class |
Conductor |
15219 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5248 |
Modular degree for the optimal curve |
Δ |
-109713771 = -1 · 36 · 19 · 892 |
Discriminant |
Eigenvalues |
-2 3- 1 1 5 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,63,-466] |
[a1,a2,a3,a4,a6] |
Generators |
[54:400:1] |
Generators of the group modulo torsion |
j |
37933056/150499 |
j-invariant |
L |
2.7982433559598 |
L(r)(E,1)/r! |
Ω |
0.95188277942003 |
Real period |
R |
0.73492330580473 |
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 |
1691a1 |
Quadratic twists by: -3 |