Atkin-Lehner |
2+ 3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906s |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1279987705833408 = -1 · 26 · 318 · 11 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-332397,-73699227] |
[a1,a2,a3,a4,a6] |
Generators |
[12678:458601:8] |
Generators of the group modulo torsion |
j |
-5571449586655836625/1755813039552 |
j-invariant |
L |
3.1201635634328 |
L(r)(E,1)/r! |
Ω |
0.09941387759675 |
Real period |
R |
7.8463984075903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16302v1 |
Quadratic twists by: -3 |