Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640da |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-58036499929497600 = -1 · 217 · 314 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64720,13188500] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:4320:1] |
Generators of the group modulo torsion |
j |
-7319577278195281/14169067365600 |
j-invariant |
L |
7.9079103089849 |
L(r)(E,1)/r! |
Ω |
0.31379709453549 |
Real period |
R |
0.45001272015609 |
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 |
4830x2 115920dt2 |
Quadratic twists by: -4 -3 |