Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cx |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3533039000064 = 29 · 32 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30655984,-65341475284] |
[a1,a2,a3,a4,a6] |
Generators |
[16403:1960980:1] |
Generators of the group modulo torsion |
j |
52894596367017490184/58653 |
j-invariant |
L |
7.5844069861551 |
L(r)(E,1)/r! |
Ω |
0.064160942997885 |
Real period |
R |
7.388068421485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
15.999999992551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376bm4 12768n3 |
Quadratic twists by: -4 -7 |