Atkin-Lehner |
3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325bd |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-2264625 = -1 · 33 · 53 · 11 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- -3 11- -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-666,6553] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6:1] |
Generators of the group modulo torsion |
j |
-260794641869/18117 |
j-invariant |
L |
6.4397939439326 |
L(r)(E,1)/r! |
Ω |
2.4657502874654 |
Real period |
R |
0.43528292224402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325o1 |
Quadratic twists by: 5 |