Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330v |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
116119858500 = 22 · 312 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10404,-405540] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:47:1] |
Generators of the group modulo torsion |
j |
170852246895169/159286500 |
j-invariant |
L |
5.7220161856729 |
L(r)(E,1)/r! |
Ω |
0.47273942232795 |
Real period |
R |
2.0173256539133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bg1 |
Quadratic twists by: -3 |