Atkin-Lehner |
3+ 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17205b |
Isogeny class |
Conductor |
17205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-2187088846875 = -1 · 39 · 55 · 312 · 37 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 2 -1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3154,-21448] |
[a1,a2,a3,a4,a6] |
j |
3468734624485376/2187088846875 |
j-invariant |
L |
0.94588878466291 |
L(r)(E,1)/r! |
Ω |
0.47294439233145 |
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 |
51615g1 86025m1 |
Quadratic twists by: -3 5 |