Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075v |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-441073746901670625 = -1 · 37 · 54 · 199 |
Discriminant |
Eigenvalues |
1 3- 5- 0 5 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,166774,-18256327] |
[a1,a2,a3,a4,a6] |
j |
17446602575/15000633 |
j-invariant |
L |
2.29437044551 |
L(r)(E,1)/r! |
Ω |
0.16388360325074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225bp1 27075h1 1425e1 |
Quadratic twists by: -3 5 -19 |