Atkin-Lehner |
2+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368d |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
154081951744 = 229 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 6 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1345,1567] |
[a1,a2,a3,a4,a6] |
j |
1027243729/587776 |
j-invariant |
L |
3.5149768340141 |
L(r)(E,1)/r! |
Ω |
0.87874420850352 |
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 |
18368bb1 574g1 128576u1 |
Quadratic twists by: -4 8 -7 |