Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fj |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-12111151104000 = -1 · 218 · 37 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5685,-28550] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-832:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
7.2244950051522 |
L(r)(E,1)/r! |
Ω |
0.4165255231462 |
Real period |
R |
1.0840414638005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850cb1 15600cv1 46800et1 |
Quadratic twists by: -4 -3 5 |