Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640bd |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-18973440 = -1 · 28 · 35 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 4 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-201] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
2809856/74115 |
j-invariant |
L |
4.7224901241964 |
L(r)(E,1)/r! |
Ω |
1.0509250433104 |
Real period |
R |
0.44936507643975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3660a1 58560de1 43920cc1 73200bm1 |
Quadratic twists by: -4 8 -3 5 |