Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030o |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-15781411440 = -1 · 24 · 35 · 5 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1176,16560] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:156:1] |
Generators of the group modulo torsion |
j |
-179874151486849/15781411440 |
j-invariant |
L |
10.061491167257 |
L(r)(E,1)/r! |
Ω |
1.2139967444752 |
Real period |
R |
0.41439531090371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090s1 |
Quadratic twists by: -3 |