Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352b |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[-3:2217:1] |
Generators of the group modulo torsion |
j |
-610325920583424/55240493 |
j-invariant |
L |
7.591342951454 |
L(r)(E,1)/r! |
Ω |
0.81049956250849 |
Real period |
R |
4.6831258785367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352dg1 5544k1 44352e1 |
Quadratic twists by: -4 8 -3 |