Atkin-Lehner |
2+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16280b |
Isogeny class |
Conductor |
16280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
17334944000 = 28 · 53 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1703,26298] |
[a1,a2,a3,a4,a6] |
j |
2133672160464/67714625 |
j-invariant |
L |
2.4493815595532 |
L(r)(E,1)/r! |
Ω |
1.2246907797766 |
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 |
32560a1 81400q1 |
Quadratic twists by: -4 5 |