Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280p |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
139682551250000 = 24 · 57 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29565,1882100] |
[a1,a2,a3,a4,a6] |
Generators |
[80:150:1] |
Generators of the group modulo torsion |
j |
178629041914249216/8730159453125 |
j-invariant |
L |
9.2568519182313 |
L(r)(E,1)/r! |
Ω |
0.57475075319797 |
Real period |
R |
2.3008363356328 |
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 |
6820c1 109120bb1 |
Quadratic twists by: -4 8 |