Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bb |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
47861902818720000 = 28 · 36 · 54 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9208407,10755352906] |
[a1,a2,a3,a4,a6] |
Generators |
[1742:720:1] |
Generators of the group modulo torsion |
j |
19169739408976/10625 |
j-invariant |
L |
6.4480112535383 |
L(r)(E,1)/r! |
Ω |
0.29398561402051 |
Real period |
R |
2.7416355385886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11560e1 6120d1 |
Quadratic twists by: -3 17 |