Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800cd |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-1125538188784081200 = -1 · 24 · 329 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23439810,-43679689315] |
[a1,a2,a3,a4,a6] |
Generators |
[470141759100697476878944463006:13366533296594362191392592990443:78813685898429396536780579] |
Generators of the group modulo torsion |
j |
-4884256392300674897920/3859870331907 |
j-invariant |
L |
6.653360874401 |
L(r)(E,1)/r! |
Ω |
0.034306863666181 |
Real period |
R |
48.484181905557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600i1 73800be1 |
Quadratic twists by: -3 5 |