Atkin-Lehner |
2- 3+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bb |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1228032 |
Modular degree for the optimal curve |
Δ |
-1551805848531542016 = -1 · 213 · 39 · 7 · 173 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -5 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1721792,872092387] |
[a1,a2,a3,a4,a6] |
Generators |
[541:9665:1] |
Generators of the group modulo torsion |
j |
-28679675954540476347/78839904919552 |
j-invariant |
L |
8.6803026494214 |
L(r)(E,1)/r! |
Ω |
0.26858232758703 |
Real period |
R |
0.31075927184663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266e1 |
Quadratic twists by: -3 |