Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21960p |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
17787600 = 24 · 36 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:45:1] |
Generators of the group modulo torsion |
j |
73598976/1525 |
j-invariant |
L |
5.389666786532 |
L(r)(E,1)/r! |
Ω |
2.1840701380603 |
Real period |
R |
0.61692922454847 |
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 |
43920g1 2440a1 109800k1 |
Quadratic twists by: -4 -3 5 |