Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21960k |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-93747767040 = -1 · 28 · 39 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,14906] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1224:1] |
Generators of the group modulo torsion |
j |
-20720464/502335 |
j-invariant |
L |
5.5112880825 |
L(r)(E,1)/r! |
Ω |
0.89664314299522 |
Real period |
R |
3.0732895943918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920u1 7320j1 109800bp1 |
Quadratic twists by: -4 -3 5 |