Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368bg |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-12980072448 = -1 · 212 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20520,1131408] |
[a1,a2,a3,a4,a6] |
Generators |
[81:27:1] |
Generators of the group modulo torsion |
j |
-11852352000/161 |
j-invariant |
L |
5.1618953652506 |
L(r)(E,1)/r! |
Ω |
1.1500027969817 |
Real period |
R |
1.122148437114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368c1 92736k1 46368f1 |
Quadratic twists by: -4 8 -3 |