Atkin-Lehner |
2+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2632a |
Isogeny class |
Conductor |
2632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544 |
Modular degree for the optimal curve |
Δ |
336896 = 210 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -6 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,-420] |
[a1,a2,a3,a4,a6] |
Generators |
[6006:17760:343] |
Generators of the group modulo torsion |
j |
153091012/329 |
j-invariant |
L |
4.4001760654952 |
L(r)(E,1)/r! |
Ω |
1.4666566937164 |
Real period |
R |
6.0002808896544 |
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 |
5264d1 21056c1 23688s1 65800j1 |
Quadratic twists by: -4 8 -3 5 |