Atkin-Lehner |
2- 3+ 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614x |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
243329991865488 = 24 · 39 · 11 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20630,863893] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:857:1] |
Generators of the group modulo torsion |
j |
49329915046875/12362444336 |
j-invariant |
L |
6.6678630387675 |
L(r)(E,1)/r! |
Ω |
0.52075787287114 |
Real period |
R |
1.6005190165078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614d2 |
Quadratic twists by: -3 |