Atkin-Lehner |
3- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23751c |
Isogeny class |
Conductor |
23751 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4726852767 = -1 · 39 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126,-3321] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1251:8] |
Generators of the group modulo torsion |
j |
-304821217/6484023 |
j-invariant |
L |
7.3446362199162 |
L(r)(E,1)/r! |
Ω |
0.59247318483348 |
Real period |
R |
3.0991428844077 |
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 |
7917c1 |
Quadratic twists by: -3 |