Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506p |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-957471634407354 = -1 · 2 · 3 · 11 · 299 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 11- -3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-236339,44228528] |
[a1,a2,a3,a4,a6] |
Generators |
[109676:347409:343] |
Generators of the group modulo torsion |
j |
-2454365649169/1609674 |
j-invariant |
L |
6.0373492852705 |
L(r)(E,1)/r! |
Ω |
0.49063997547028 |
Real period |
R |
3.0762624261677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914h1 |
Quadratic twists by: 29 |