Atkin-Lehner |
2+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47974d |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
2218108977152 = 216 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ 2 0 2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3890,58292] |
[a1,a2,a3,a4,a6] |
j |
1325562421625/451477504 |
j-invariant |
L |
1.5119458661392 |
L(r)(E,1)/r! |
Ω |
0.75597293305765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47974e1 |
Quadratic twists by: 17 |