Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
126582i |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
551936 |
Modular degree for the optimal curve |
Δ |
259823744335872 = 214 · 32 · 176 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37431,-2692971] |
[a1,a2,a3,a4,a6] |
j |
240293820313/10764288 |
j-invariant |
L |
0.68836950887919 |
L(r)(E,1)/r! |
Ω |
0.34418509670131 |
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 |
438e1 |
Quadratic twists by: 17 |