Atkin-Lehner |
3- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16461a |
Isogeny class |
Conductor |
16461 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-41333571 = -1 · 36 · 312 · 59 |
Discriminant |
Eigenvalues |
1 3- -3 -3 2 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,84,71] |
[a1,a2,a3,a4,a6] |
Generators |
[14:55:1] |
Generators of the group modulo torsion |
j |
89314623/56699 |
j-invariant |
L |
3.1996189732346 |
L(r)(E,1)/r! |
Ω |
1.2663763411667 |
Real period |
R |
1.2632970426022 |
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 |
1829a1 |
Quadratic twists by: -3 |