Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46920n |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-587063040 = -1 · 28 · 3 · 5 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516,4836] |
[a1,a2,a3,a4,a6] |
Generators |
[8:34:1] |
Generators of the group modulo torsion |
j |
-59466754384/2293215 |
j-invariant |
L |
3.1936652410968 |
L(r)(E,1)/r! |
Ω |
1.6208115435521 |
Real period |
R |
0.49260280348481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840q1 |
Quadratic twists by: -4 |