Atkin-Lehner |
3- 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52173g |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
124257460239 = 311 · 113 · 17 · 31 |
Discriminant |
Eigenvalues |
1 3- 1 -4 11+ -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1404,11421] |
[a1,a2,a3,a4,a6] |
Generators |
[36:63:1] |
Generators of the group modulo torsion |
j |
420021471169/170449191 |
j-invariant |
L |
5.1151069063833 |
L(r)(E,1)/r! |
Ω |
0.94774341783617 |
Real period |
R |
1.3492857903627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17391h1 |
Quadratic twists by: -3 |