Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398u |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9325262743355328 = -1 · 26 · 3 · 712 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3451036,-2467877734] |
[a1,a2,a3,a4,a6] |
Generators |
[171510:24929231:8] |
Generators of the group modulo torsion |
j |
-4545398877836834548077625/9325262743355328 |
j-invariant |
L |
4.6720197243213 |
L(r)(E,1)/r! |
Ω |
0.055383723216915 |
Real period |
R |
7.0297725471058 |
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 |
107184bk3 40194bs3 93786v3 |
Quadratic twists by: -4 -3 -7 |