Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560bz |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-2.5061262882188E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6902448,3048337996] |
[a1,a2,a3,a4,a6] |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
3.9198966334985 |
L(r)(E,1)/r! |
Ω |
0.07538262756728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4140k1 66240es1 5520bd1 82800eu1 |
Quadratic twists by: -4 8 -3 5 |