Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215l |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3545707921875 = -1 · 312 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 2 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-61473,-5867141] |
[a1,a2,a3,a4,a6] |
Generators |
[9592574684:59350174877:31554496] |
Generators of the group modulo torsion |
j |
-35241096113238016/4863796875 |
j-invariant |
L |
9.2173233635925 |
L(r)(E,1)/r! |
Ω |
0.15159848492225 |
Real period |
R |
15.200223419647 |
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 |
6405h1 96075br1 |
Quadratic twists by: -3 5 |