Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075q |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1131306419671875 = 34 · 56 · 197 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-916226,-337633027] |
[a1,a2,a3,a4,a6] |
Generators |
[3797:223776:1] |
Generators of the group modulo torsion |
j |
115714886617/1539 |
j-invariant |
L |
8.3555907073264 |
L(r)(E,1)/r! |
Ω |
0.15431185965653 |
Real period |
R |
6.7684288216121 |
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 |
81225bd4 1083b3 1425a3 |
Quadratic twists by: -3 5 -19 |