Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376l |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
192274231296 = 212 · 3 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104337,13006785] |
[a1,a2,a3,a4,a6] |
Generators |
[58655:1024296:125] |
Generators of the group modulo torsion |
j |
260672203072/399 |
j-invariant |
L |
5.5609948226967 |
L(r)(E,1)/r! |
Ω |
0.85813136535608 |
Real period |
R |
6.4803537573841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376s4 12768h2 |
Quadratic twists by: -4 -7 |