Atkin-Lehner |
2- 3- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104304t |
Isogeny class |
Conductor |
104304 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2112877309722624 = -1 · 223 · 37 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 4 0 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31816,-335532] |
[a1,a2,a3,a4,a6] |
j |
869534559879623/515839186944 |
j-invariant |
L |
7.5997280771836 |
L(r)(E,1)/r! |
Ω |
0.27141887659753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13038a1 |
Quadratic twists by: -4 |