Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462w |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
21977088 = 211 · 3 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-253,1427] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
36559182625/448512 |
j-invariant |
L |
6.5211935723139 |
L(r)(E,1)/r! |
Ω |
2.1542924001179 |
Real period |
R |
0.27518816817476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386m1 21462ba1 |
Quadratic twists by: -3 -7 |