Atkin-Lehner |
3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649a |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
78017705279682993 = 39 · 119 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11+ 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1246565,-535218164] |
[a1,a2,a3,a4,a6] |
Generators |
[-153528365438:67442440591:234885113] |
Generators of the group modulo torsion |
j |
4615754625/1681 |
j-invariant |
L |
3.6137058626786 |
L(r)(E,1)/r! |
Ω |
0.14288292812801 |
Real period |
R |
12.645688011979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44649c1 44649d1 |
Quadratic twists by: -3 -11 |