Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504z |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1069056 |
Modular degree for the optimal curve |
Δ |
2202804001823818752 = 210 · 315 · 19 · 534 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1054515,-410637058] |
[a1,a2,a3,a4,a6] |
Generators |
[-6837302:-25784818:12167] |
Generators of the group modulo torsion |
j |
173721876740450500/2950858412937 |
j-invariant |
L |
5.6136184993461 |
L(r)(E,1)/r! |
Ω |
0.14913645655377 |
Real period |
R |
9.4102049692904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168b1 |
Quadratic twists by: -3 |