Atkin-Lehner |
2- 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bp |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-134650880000 = -1 · 213 · 54 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 5 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1160,-23692] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1190:1] |
Generators of the group modulo torsion |
j |
-42180533641/32873750 |
j-invariant |
L |
10.189085309419 |
L(r)(E,1)/r! |
Ω |
0.39571650578711 |
Real period |
R |
1.6092779139495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470d1 |
Quadratic twists by: -4 |