Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
39648g |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
11994550848 = 26 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2238,-39672] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:16:1] [812:23084:1] |
Generators of the group modulo torsion |
j |
19378404856000/187414857 |
j-invariant |
L |
7.6099585112437 |
L(r)(E,1)/r! |
Ω |
0.69449949368862 |
Real period |
R |
10.957471647425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39648l1 79296ca2 118944h1 |
Quadratic twists by: -4 8 -3 |