Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cj |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
192464620992 = 26 · 34 · 75 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22268,-1271430] |
[a1,a2,a3,a4,a6] |
Generators |
[239:2646:1] |
Generators of the group modulo torsion |
j |
19081252519048000/3007259703 |
j-invariant |
L |
4.5913390971432 |
L(r)(E,1)/r! |
Ω |
0.39082445725647 |
Real period |
R |
2.3495659044035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168da1 31584l2 |
Quadratic twists by: -4 8 |