Atkin-Lehner |
2- 3+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826q |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-1858815737856 = -1 · 214 · 33 · 7 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114692,14978983] |
[a1,a2,a3,a4,a6] |
Generators |
[253:1325:1] |
Generators of the group modulo torsion |
j |
-6179534711937245763/68845027328 |
j-invariant |
L |
10.087425945338 |
L(r)(E,1)/r! |
Ω |
0.75611494354386 |
Real period |
R |
0.23823442150477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826e1 |
Quadratic twists by: -3 |