Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640p |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
511902720 = 210 · 33 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376,-2716] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] [-10:12:1] |
Generators of the group modulo torsion |
j |
5756278756/499905 |
j-invariant |
L |
9.3950202921051 |
L(r)(E,1)/r! |
Ω |
1.0899464947712 |
Real period |
R |
1.4366179650676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320q1 115920bp1 |
Quadratic twists by: -4 -3 |