Atkin-Lehner |
2+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198l |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
952560 |
Modular degree for the optimal curve |
Δ |
-203645793877098496 = -1 · 218 · 76 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 11+ 6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116694,-26634796] |
[a1,a2,a3,a4,a6] |
Generators |
[986186780422948:-2028683220572306:2324623420223] |
Generators of the group modulo torsion |
j |
-1493780780062297/1730960687104 |
j-invariant |
L |
5.5235543125451 |
L(r)(E,1)/r! |
Ω |
0.12361675379789 |
Real period |
R |
22.341447024147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
902a1 |
Quadratic twists by: -7 |