Atkin-Lehner |
2+ 3+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726a |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
47514762 = 2 · 39 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -1 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-663,6731] |
[a1,a2,a3,a4,a6] |
Generators |
[13:7:1] |
Generators of the group modulo torsion |
j |
1638858339/2414 |
j-invariant |
L |
2.1972454016386 |
L(r)(E,1)/r! |
Ω |
2.0106300207909 |
Real period |
R |
0.54640719051192 |
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 |
21726s1 |
Quadratic twists by: -3 |