Atkin-Lehner |
3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483f |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
13985433 = 33 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] [-4:12:1] |
Generators of the group modulo torsion |
j |
1108717875/517979 |
j-invariant |
L |
4.942348059161 |
L(r)(E,1)/r! |
Ω |
1.7612531513074 |
Real period |
R |
1.4030771372907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21483c1 |
Quadratic twists by: -3 |