Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816a |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31059744768 = 211 · 32 · 134 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22712,-1309872] |
[a1,a2,a3,a4,a6] |
Generators |
[3091994:75037690:4913] |
Generators of the group modulo torsion |
j |
632672590894706/15165891 |
j-invariant |
L |
6.9861843865287 |
L(r)(E,1)/r! |
Ω |
0.38889713253813 |
Real period |
R |
8.9820466673704 |
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 |
18408e4 110448n4 |
Quadratic twists by: -4 -3 |