Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19220a |
Isogeny class |
Conductor |
19220 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-846067909141472000 = -1 · 28 · 53 · 319 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56379,-43972655] |
[a1,a2,a3,a4,a6] |
Generators |
[2540680:36032695:6859] |
Generators of the group modulo torsion |
j |
87228416/3723875 |
j-invariant |
L |
2.4074189772412 |
L(r)(E,1)/r! |
Ω |
0.13512684807173 |
Real period |
R |
8.9079964921676 |
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 |
76880n2 96100c2 620a2 |
Quadratic twists by: -4 5 -31 |