Atkin-Lehner |
2+ 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158c |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-21093366114 = -1 · 2 · 33 · 173 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1203,-17217] |
[a1,a2,a3,a4,a6] |
Generators |
[6438:179157:8] |
Generators of the group modulo torsion |
j |
-7134439870251/781235782 |
j-invariant |
L |
4.5626410963116 |
L(r)(E,1)/r! |
Ω |
0.40282116440312 |
Real period |
R |
5.6633582089366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105264z1 13158m2 |
Quadratic twists by: -4 -3 |