Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506a |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-1510897070045822976 = -1 · 215 · 35 · 11 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11+ -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-492002,145196148] |
[a1,a2,a3,a4,a6] |
Generators |
[5599:413075:1] |
Generators of the group modulo torsion |
j |
-22143063655441/2540077056 |
j-invariant |
L |
4.6352565170857 |
L(r)(E,1)/r! |
Ω |
0.26090888504847 |
Real period |
R |
4.4414513865006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914o1 |
Quadratic twists by: 29 |