Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bp |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
291911122944 = 214 · 34 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5649,159471] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:420:1] |
Generators of the group modulo torsion |
j |
1217013440848/17816841 |
j-invariant |
L |
6.9442354499258 |
L(r)(E,1)/r! |
Ω |
0.97552939572158 |
Real period |
R |
1.7796069199107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958469 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90048q2 22512c2 |
Quadratic twists by: -4 8 |