Atkin-Lehner |
3- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15351f |
Isogeny class |
Conductor |
15351 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
195762046347 = 38 · 74 · 172 · 43 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1635,13806] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-201:1] |
Generators of the group modulo torsion |
j |
483385461758641/195762046347 |
j-invariant |
L |
2.7812690982294 |
L(r)(E,1)/r! |
Ω |
0.91268589719086 |
Real period |
R |
0.19045908255443 |
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 |
46053i2 107457g2 |
Quadratic twists by: -3 -7 |