Atkin-Lehner |
2+ 3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906s |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-3.2493931203093E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,177903,-272777463] |
[a1,a2,a3,a4,a6] |
Generators |
[633:9336:1] |
Generators of the group modulo torsion |
j |
854170612877243375/44573293831402908 |
j-invariant |
L |
3.1201635634328 |
L(r)(E,1)/r! |
Ω |
0.09941387759675 |
Real period |
R |
2.6154661358634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998804 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16302v3 |
Quadratic twists by: -3 |