Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bo |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
52337913161318400 = 218 · 3 · 52 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-294108,-60421094] |
[a1,a2,a3,a4,a6] |
Generators |
[-21740:46853:64] |
Generators of the group modulo torsion |
j |
2813468797630571444281/52337913161318400 |
j-invariant |
L |
5.6315366328134 |
L(r)(E,1)/r! |
Ω |
0.20524074124674 |
Real period |
R |
4.5731146413733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810du3 |
Quadratic twists by: -3 |