Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760bc |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
121733096498841600 = 211 · 318 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229040,-38783712] |
[a1,a2,a3,a4,a6] |
Generators |
[2707:138510:1] |
Generators of the group modulo torsion |
j |
648828115847745122/59439988524825 |
j-invariant |
L |
8.4272727904382 |
L(r)(E,1)/r! |
Ω |
0.21951320400261 |
Real period |
R |
2.1328184963552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520l2 116280q2 |
Quadratic twists by: -4 -3 |