Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bd |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
1881164228386970880 = 28 · 36 · 5 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002252,-380521676] |
[a1,a2,a3,a4,a6] |
Generators |
[-630:922:1] |
Generators of the group modulo torsion |
j |
295936/5 |
j-invariant |
L |
6.3406024955262 |
L(r)(E,1)/r! |
Ω |
0.15104291758735 |
Real period |
R |
5.2473517122262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11560f1 104040u1 |
Quadratic twists by: -3 17 |