Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840t |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-151719091200 = -1 · 210 · 35 · 52 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 -3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16145,795225] |
[a1,a2,a3,a4,a6] |
j |
-454532354823424/148163175 |
j-invariant |
L |
2.0136515682408 |
L(r)(E,1)/r! |
Ω |
1.0068257841203 |
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 |
27840dy1 3480g1 83520bg1 |
Quadratic twists by: -4 8 -3 |