Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640q |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-126935877600000000 = -1 · 211 · 34 · 58 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86016,19672020] |
[a1,a2,a3,a4,a6] |
Generators |
[156:-3174:1] |
Generators of the group modulo torsion |
j |
-34366597532983298/61980408984375 |
j-invariant |
L |
6.1372695695564 |
L(r)(E,1)/r! |
Ω |
0.29463934718444 |
Real period |
R |
1.3018605687348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320m4 115920bg3 |
Quadratic twists by: -4 -3 |