Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bk |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
223405026357408000 = 28 · 3 · 53 · 77 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-441981,110750961] |
[a1,a2,a3,a4,a6] |
j |
81160802762719681/1898911392000 |
j-invariant |
L |
2.5132338508173 |
L(r)(E,1)/r! |
Ω |
0.31415423169972 |
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 |
8610m1 |
Quadratic twists by: -7 |