Atkin-Lehner |
2- 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cl |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
deg |
6220800 |
Modular degree for the optimal curve |
Δ |
-1.0317933712007E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52401306,146814120036] |
[a1,a2,a3,a4,a6] |
Generators |
[3636:-67818:1] |
Generators of the group modulo torsion |
j |
-15912926096754780378550788769/103179337120069056000000 |
j-invariant |
L |
10.270291946166 |
L(r)(E,1)/r! |
Ω |
0.10668892432837 |
Real period |
R |
1.3369986115678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810cb1 |
Quadratic twists by: -3 |