Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bo |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4682203545600 = 214 · 32 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5976,146160] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:560:1] |
Generators of the group modulo torsion |
j |
5763259856089/1143116100 |
j-invariant |
L |
4.180967129043 |
L(r)(E,1)/r! |
Ω |
0.73201362874878 |
Real period |
R |
0.71394967334622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830j2 115920ff2 |
Quadratic twists by: -4 -3 |