Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075q |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-287393730834421875 = -1 · 3 · 56 · 1910 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76524,-24465527] |
[a1,a2,a3,a4,a6] |
Generators |
[118996381137778568:-3781266509432650391:128818230424064] |
Generators of the group modulo torsion |
j |
67419143/390963 |
j-invariant |
L |
8.3555907073264 |
L(r)(E,1)/r! |
Ω |
0.15431185965653 |
Real period |
R |
27.073715286448 |
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 |
81225bd3 1083b4 1425a4 |
Quadratic twists by: -3 5 -19 |