Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075h |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-6.8917772953386E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 5 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4169362,-2282040844] |
[a1,a2,a3,a4,a6] |
j |
17446602575/15000633 |
j-invariant |
L |
1.3192375581585 |
L(r)(E,1)/r! |
Ω |
0.073290975453253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225ba1 27075v1 1425f1 |
Quadratic twists by: -3 5 -19 |