Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bn |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5640584641423604208 = 24 · 310 · 7 · 318 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5116064,4453831635] |
[a1,a2,a3,a4,a6] |
Generators |
[7293:592173:1] |
Generators of the group modulo torsion |
j |
22889370414457/8718192 |
j-invariant |
L |
11.339809885782 |
L(r)(E,1)/r! |
Ω |
0.23614806824627 |
Real period |
R |
3.0012446259533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362i2 3906t2 |
Quadratic twists by: -3 -31 |