Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4230h |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-1.320056633312E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9005511,14046597485] |
[a1,a2,a3,a4,a6] |
Generators |
[876659:820382572:1] |
Generators of the group modulo torsion |
j |
4103528704038359904573/6706582499172024320 |
j-invariant |
L |
3.0660352156203 |
L(r)(E,1)/r! |
Ω |
0.070984775886953 |
Real period |
R |
10.798214044174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840bd1 4230q1 21150bn1 |
Quadratic twists by: -4 -3 5 |