Atkin-Lehner |
2+ 5- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
40280d |
Isogeny class |
Conductor |
40280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-3671555694703360000 = -1 · 211 · 54 · 193 · 535 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 6 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21103960,-37308990900] |
[a1,a2,a3,a4,a6] |
Generators |
[23292408390:-1643030265915:2863288] |
Generators of the group modulo torsion |
j |
-507557962775763748021682/1792751804054375 |
j-invariant |
L |
9.316375577896 |
L(r)(E,1)/r! |
Ω |
0.035219118069873 |
Real period |
R |
13.226304473912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80560e1 |
Quadratic twists by: -4 |