Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bt |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20020665231360 = 211 · 34 · 5 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62520,5992308] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:3468:1] |
Generators of the group modulo torsion |
j |
546718898/405 |
j-invariant |
L |
9.4184001407017 |
L(r)(E,1)/r! |
Ω |
0.67828899496969 |
Real period |
R |
1.7356908725251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680o4 240c4 |
Quadratic twists by: -4 17 |