Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
74592bj |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
761285952 = 26 · 38 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381,2536] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:54:1] [-1:54:1] |
Generators of the group modulo torsion |
j |
131096512/16317 |
j-invariant |
L |
8.7979944018031 |
L(r)(E,1)/r! |
Ω |
1.5415228785796 |
Real period |
R |
1.4268348728368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592bs1 24864l1 |
Quadratic twists by: -4 -3 |