Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
672c |
Isogeny class |
Conductor |
672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
254016 = 26 · 34 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,40] |
[a1,a2,a3,a4,a6] |
j |
19248832/3969 |
j-invariant |
L |
1.4729892849024 |
L(r)(E,1)/r! |
Ω |
2.9459785698048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
672h1 1344q2 2016d1 16800u1 |
Quadratic twists by: -4 8 -3 5 |