Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360i |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1156655062056960 = -1 · 217 · 316 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26239,26241] |
[a1,a2,a3,a4,a6] |
Generators |
[3:324:1] [120:2211:1] |
Generators of the group modulo torsion |
j |
15241898767678/8824577805 |
j-invariant |
L |
6.6639675441051 |
L(r)(E,1)/r! |
Ω |
0.29216709597393 |
Real period |
R |
22.808754428318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360ct3 4920j4 118080ch3 |
Quadratic twists by: -4 8 -3 |