Atkin-Lehner |
2+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27280g |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
3410000 = 24 · 54 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122,511] |
[a1,a2,a3,a4,a6] |
Generators |
[27:130:1] |
Generators of the group modulo torsion |
j |
12551141376/213125 |
j-invariant |
L |
5.2372755826769 |
L(r)(E,1)/r! |
Ω |
2.5107890518607 |
Real period |
R |
2.0859082441815 |
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 |
13640d1 109120bc1 |
Quadratic twists by: -4 8 |