Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376q |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.1237080345136E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,918832,164105724] |
[a1,a2,a3,a4,a6] |
Generators |
[1114118473863888151269:50712807430969052584978:1009712274191458083] |
Generators of the group modulo torsion |
j |
1424207846251000/1016614442529 |
j-invariant |
L |
8.3022314524711 |
L(r)(E,1)/r! |
Ω |
0.12510479854372 |
Real period |
R |
33.181107149352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376bs2 12768c2 |
Quadratic twists by: -4 -7 |