Atkin-Lehner |
2+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280f |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
5814050000 = 24 · 55 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1155,-14278] |
[a1,a2,a3,a4,a6] |
j |
10659225266176/363378125 |
j-invariant |
L |
4.1029938656757 |
L(r)(E,1)/r! |
Ω |
0.82059877313525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640j1 109120ba1 |
Quadratic twists by: -4 8 |