Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104br |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
384353656011620352 = 217 · 320 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -6 6 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188355,-10013758] |
[a1,a2,a3,a4,a6] |
Generators |
[-2886:80540:27] |
Generators of the group modulo torsion |
j |
294287421625/153055008 |
j-invariant |
L |
8.0482101220879 |
L(r)(E,1)/r! |
Ω |
0.24262033973459 |
Real period |
R |
8.2930084251252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138e1 40368t1 121104cm1 |
Quadratic twists by: -4 -3 29 |