Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5046h |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-827994062832 = -1 · 24 · 3 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,403,-43501] |
[a1,a2,a3,a4,a6] |
j |
12167/1392 |
j-invariant |
L |
3.8045266155513 |
L(r)(E,1)/r! |
Ω |
0.4227251795057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40368bg1 15138g1 126150w1 174d1 |
Quadratic twists by: -4 -3 5 29 |