Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360dc |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
557715456000 = 215 · 34 · 53 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5825,165375] |
[a1,a2,a3,a4,a6] |
Generators |
[55:120:1] |
Generators of the group modulo torsion |
j |
667169403272/17020125 |
j-invariant |
L |
8.4975257179579 |
L(r)(E,1)/r! |
Ω |
0.91962371024669 |
Real period |
R |
0.38500918107747 |
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 |
39360cd2 19680o2 118080eb2 |
Quadratic twists by: -4 8 -3 |