Atkin-Lehner |
7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32851k |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-35452411591051 = -1 · 73 · 133 · 196 |
Discriminant |
Eigenvalues |
0 2 -3 7- 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4573,-262103] |
[a1,a2,a3,a4,a6] |
Generators |
[410:2579:8] |
Generators of the group modulo torsion |
j |
224755712/753571 |
j-invariant |
L |
4.7480565492313 |
L(r)(E,1)/r! |
Ω |
0.33274620037775 |
Real period |
R |
4.7564345276179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91b2 |
Quadratic twists by: -19 |