Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198r |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
55200 |
Modular degree for the optimal curve |
Δ |
-5176823344 = -1 · 24 · 72 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 11- -5 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1027,13038] |
[a1,a2,a3,a4,a6] |
Generators |
[19:12:1] |
Generators of the group modulo torsion |
j |
-2441355002233/105649456 |
j-invariant |
L |
3.8153442671596 |
L(r)(E,1)/r! |
Ω |
1.3496133228747 |
Real period |
R |
0.28269906665068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198e1 |
Quadratic twists by: -7 |