Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075p |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
514001953125 = 36 · 59 · 192 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5383,146269] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-188:1] |
Generators of the group modulo torsion |
j |
3058794496/91125 |
j-invariant |
L |
4.167679073932 |
L(r)(E,1)/r! |
Ω |
0.92411783782711 |
Real period |
R |
0.18791250167347 |
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 |
81225x1 5415e1 27075a1 |
Quadratic twists by: -3 5 -19 |