Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912ct |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
185362518195792 = 24 · 33 · 712 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19273,-801130] |
[a1,a2,a3,a4,a6] |
Generators |
[-7036:2073:64] |
Generators of the group modulo torsion |
j |
420616192000/98472213 |
j-invariant |
L |
8.5352556272036 |
L(r)(E,1)/r! |
Ω |
0.41204250246333 |
Real period |
R |
6.904834312845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228a1 10416o1 |
Quadratic twists by: -4 -7 |