Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178k |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-1242022750464 = -1 · 28 · 3 · 176 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,-54212] |
[a1,a2,a3,a4,a6] |
j |
-1771561/51456 |
j-invariant |
L |
1.4988002556536 |
L(r)(E,1)/r! |
Ω |
0.37469987555907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
402a1 |
Quadratic twists by: 17 |