Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86700bt |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
1255636339380000000 = 28 · 32 · 57 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-327533,47838063] |
[a1,a2,a3,a4,a6] |
j |
139264/45 |
j-invariant |
L |
3.0190175614459 |
L(r)(E,1)/r! |
Ω |
0.25158480889555 |
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 |
17340c1 86700l1 |
Quadratic twists by: 5 17 |