Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bz |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-5048725795895771136 = -1 · 219 · 34 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317800,128332144] |
[a1,a2,a3,a4,a6] |
Generators |
[5210:112329:8] |
Generators of the group modulo torsion |
j |
-51026761/72576 |
j-invariant |
L |
6.1967517488494 |
L(r)(E,1)/r! |
Ω |
0.21841887777666 |
Real period |
R |
7.0927383504236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999911885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162i1 121296db1 |
Quadratic twists by: -4 -19 |