Atkin-Lehner |
7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14651l |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-73625567743 = -1 · 77 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 -2 0 7- -4 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,832,9295] |
[a1,a2,a3,a4,a6] |
Generators |
[13:143:1] |
Generators of the group modulo torsion |
j |
541343375/625807 |
j-invariant |
L |
1.2869256692494 |
L(r)(E,1)/r! |
Ω |
0.72778676903197 |
Real period |
R |
0.88413648338312 |
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 |
2093d1 |
Quadratic twists by: -7 |