Atkin-Lehner |
3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483c |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
10195380657 = 39 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-582,2519] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1663:1] |
Generators of the group modulo torsion |
j |
1108717875/517979 |
j-invariant |
L |
5.404804265522 |
L(r)(E,1)/r! |
Ω |
1.1501465524954 |
Real period |
R |
2.349615470218 |
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 |
21483f1 |
Quadratic twists by: -3 |