Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352dg |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1527289150464 = -1 · 210 · 33 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53436,-4754808] |
[a1,a2,a3,a4,a6] |
j |
-610325920583424/55240493 |
j-invariant |
L |
4.7100982905273 |
L(r)(E,1)/r! |
Ω |
0.15700327635105 |
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 |
44352b1 11088g1 44352dd1 |
Quadratic twists by: -4 8 -3 |