Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304n |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-55371900672 = -1 · 28 · 312 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,897,4610] |
[a1,a2,a3,a4,a6] |
j |
427694384/296703 |
j-invariant |
L |
2.8255524068898 |
L(r)(E,1)/r! |
Ω |
0.70638810172262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608s1 9768h1 |
Quadratic twists by: -4 -3 |