Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208d |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-47935908105904 = -1 · 24 · 77 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7154,-406455] |
[a1,a2,a3,a4,a6] |
Generators |
[565048:11377295:1331] |
Generators of the group modulo torsion |
j |
-21511084032/25465531 |
j-invariant |
L |
8.2127925985521 |
L(r)(E,1)/r! |
Ω |
0.24826913602796 |
Real period |
R |
8.2700499127967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16744d1 |
Quadratic twists by: -7 |