Atkin-Lehner |
2+ 3- 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
115362c |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-144523619817408 = -1 · 26 · 313 · 132 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6588,-542192] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2312:1] |
Generators of the group modulo torsion |
j |
43373041085375/198249135552 |
j-invariant |
L |
3.5911023230873 |
L(r)(E,1)/r! |
Ω |
0.2927696067837 |
Real period |
R |
3.0664917236679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454h1 |
Quadratic twists by: -3 |