Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296bp |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5752128999230208 = -1 · 28 · 33 · 72 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35980,-2520756] |
[a1,a2,a3,a4,a6] |
Generators |
[70:588:1] [234:4332:1] |
Generators of the group modulo torsion |
j |
427694384/477603 |
j-invariant |
L |
10.930298945632 |
L(r)(E,1)/r! |
Ω |
0.23025665123884 |
Real period |
R |
3.9558390178517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648h2 6384f2 |
Quadratic twists by: -4 -19 |