Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16240t |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
713000960000 = 214 · 54 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10307,400706] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:350:1] |
Generators of the group modulo torsion |
j |
29563822919961/174072500 |
j-invariant |
L |
5.0523072990184 |
L(r)(E,1)/r! |
Ω |
0.90813814590967 |
Real period |
R |
1.3908421647561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2030a3 64960bf3 81200be3 113680bd3 |
Quadratic twists by: -4 8 5 -7 |