Atkin-Lehner |
5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51205n |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-61606015625 = -1 · 57 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 11+ -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,790,-8275] |
[a1,a2,a3,a4,a6] |
Generators |
[95:915:1] |
Generators of the group modulo torsion |
j |
158955846713/179609375 |
j-invariant |
L |
3.9559911334281 |
L(r)(E,1)/r! |
Ω |
0.59707610322627 |
Real period |
R |
0.23662879297708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51205h1 |
Quadratic twists by: -7 |