Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930bc |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-19551000 = -1 · 23 · 3 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54,256] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
-49430863/57000 |
j-invariant |
L |
4.7139354907364 |
L(r)(E,1)/r! |
Ω |
1.9645777001293 |
Real period |
R |
1.1997325151421 |
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 |
83790fh1 27930w1 |
Quadratic twists by: -3 -7 |