Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400bk |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
107520000000 = 216 · 3 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,13312] |
[a1,a2,a3,a4,a6] |
j |
4826809/1680 |
j-invariant |
L |
1.9426558131884 |
L(r)(E,1)/r! |
Ω |
0.9713279065942 |
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 |
1050p1 33600gh1 25200ea1 1680r1 |
Quadratic twists by: -4 8 -3 5 |