Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488io |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.2490388900817E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4530017,72247230495] |
[a1,a2,a3,a4,a6] |
Generators |
[-809:274560:1] |
Generators of the group modulo torsion |
j |
-333345918055753/72923718045024 |
j-invariant |
L |
10.709899409532 |
L(r)(E,1)/r! |
Ω |
0.066939588731291 |
Real period |
R |
3.3331980122566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488s3 25872bo3 14784cb4 |
Quadratic twists by: -4 8 -7 |