Atkin-Lehner |
3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30927c |
Isogeny class |
Conductor |
30927 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-64989536548938651 = -1 · 33 · 139 · 613 |
Discriminant |
Eigenvalues |
0 3- -3 1 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,81233,-8400635] |
[a1,a2,a3,a4,a6] |
Generators |
[173:3295:1] |
Generators of the group modulo torsion |
j |
12281622069248/13464285939 |
j-invariant |
L |
5.0107646954668 |
L(r)(E,1)/r! |
Ω |
0.18838299765372 |
Real period |
R |
0.73885600049355 |
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 |
92781k2 2379a2 |
Quadratic twists by: -3 13 |