Atkin-Lehner |
2+ 5+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87550c |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-2818015625000 = -1 · 23 · 59 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 0 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95625,-11421875] |
[a1,a2,a3,a4,a6] |
j |
-6189066183430801/180353000 |
j-invariant |
L |
1.0859636898095 |
L(r)(E,1)/r! |
Ω |
0.13574547023565 |
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 |
17510k1 |
Quadratic twists by: 5 |