Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bl |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
2.3628871027959E+21 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2614567280,51456529347028] |
[a1,a2,a3,a4,a6] |
Generators |
[20306:2595840:1] |
Generators of the group modulo torsion |
j |
482573233994539531386378766321/576876734081024000 |
j-invariant |
L |
4.0677235290087 |
L(r)(E,1)/r! |
Ω |
0.092246952937164 |
Real period |
R |
1.0499052501939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710m1 |
Quadratic twists by: -4 |