Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136bj |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1.5739462165224E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513312,128049136] |
[a1,a2,a3,a4,a6] |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
2.3370258827321 |
L(r)(E,1)/r! |
Ω |
0.14606411767076 |
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 |
1071a1 68544ei1 5712z1 119952gb1 |
Quadratic twists by: -4 8 -3 -7 |