Atkin-Lehner |
2+ 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12834b |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
24949296 = 24 · 37 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 1 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,589] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:11:1] [2:17:1] |
Generators of the group modulo torsion |
j |
374805361/34224 |
j-invariant |
L |
4.6282127947731 |
L(r)(E,1)/r! |
Ω |
2.0685633815489 |
Real period |
R |
0.27967554898586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672cf1 4278m1 |
Quadratic twists by: -4 -3 |