Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168v |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
48336 = 24 · 3 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1007,11970] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3765:1] |
Generators of the group modulo torsion |
j |
7065181861888/3021 |
j-invariant |
L |
7.4363606951043 |
L(r)(E,1)/r! |
Ω |
2.9096050927475 |
Real period |
R |
5.1115945003261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48336f1 72504o1 |
Quadratic twists by: -4 -3 |