Atkin-Lehner |
2- 3+ 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030j |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-3167241601500 = -1 · 22 · 33 · 53 · 174 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10141,398063] |
[a1,a2,a3,a4,a6] |
j |
-115337022831094609/3167241601500 |
j-invariant |
L |
1.5909575805642 |
L(r)(E,1)/r! |
Ω |
0.79547879028249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090u1 |
Quadratic twists by: -3 |