Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
5.6499227492228E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45055808,116390131764] |
[a1,a2,a3,a4,a6] |
Generators |
[4015:-15162:1] [-1172:409374:1] |
Generators of the group modulo torsion |
j |
52492168638015625/293197968 |
j-invariant |
L |
13.942098411942 |
L(r)(E,1)/r! |
Ω |
0.17624064679712 |
Real period |
R |
1.0987264245449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162t1 6384q1 |
Quadratic twists by: -4 -19 |