Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048x |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-291197562421248 = -1 · 215 · 32 · 72 · 674 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12831,-596673] |
[a1,a2,a3,a4,a6] |
Generators |
[77:924:1] |
Generators of the group modulo torsion |
j |
7128882298936/8886644361 |
j-invariant |
L |
8.0161131724241 |
L(r)(E,1)/r! |
Ω |
0.29302408340591 |
Real period |
R |
3.4195624311271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048e3 45024b2 |
Quadratic twists by: -4 8 |